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{e} ^{\pm \mathrm {i} H_{0,{\text{S}}}t/\hbar }} by the corresponding time-evolution operator in the definitions below. Let | ψ S ( t ) ⟩ = e − i H S t /Quantum mechanics (12,091 words) [view diff] exact match in snippet view article find links to article
U(t)=e^{-iHt/\hbar }} is known as the time-evolution operator, and has the crucial property that it is unitary. This time evolution is deterministic in the senseUnitarity (physics) (1,228 words) [view diff] exact match in snippet view article
physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematicallyDensity matrix (5,446 words) [view diff] exact match in snippet view article find links to article
{\displaystyle G(t)} is the wavefunction propagator over some interval, then the time evolution of the density matrix over that same interval is given by ρ ( t ) =Outline of evolution (4,529 words) [view diff] case mismatch in snippet view article find links to article
reptiles through geologic time Evolution of brachiopods – The origin and diversification of brachiopods through geologic time Evolution of cephalopods – OriginClassical limit (1,511 words) [view diff] no match in snippet view article find links to article
is to consider the time-evolution of the expected position and expected momentum, which can then be compared to the time-evolution of the ordinary positionConservative system (1,770 words) [view diff] exact match in snippet view article find links to article
present case, instead of focusing on the time evolution of discrete points, one shifts attention to the time evolution of collections of points. One such exampleHeisenberg picture (2,151 words) [view diff] no match in snippet view article find links to article
U(t)=Te^{-{\frac {i}{\hbar }}\int _{0}^{t}dsH_{\rm {S}}(s)}} is the time-evolution operator induced by a Hamiltonian H S ( t ) {\displaystyle H_{\rm {S}}(t)}Earth system science (2,184 words) [view diff] exact match in snippet view article find links to article
subsystems fluxes and processes, the resulting spatial organization and time evolution of these systems, and their variability, stability and instability.Quantum channel (4,449 words) [view diff] exact match in snippet view article find links to article
Frobenius algebra or Frobenius category. For a purely quantum system, the time evolution, at certain time t, is given by ρ → U ρ U ∗ , {\displaystyle \rho \rightarrowPoisson bracket (4,029 words) [view diff] exact match in snippet view article find links to article
a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system. The Poisson bracket also distinguishesRate-determining step (1,736 words) [view diff] exact match in snippet view article find links to article
this approximation of the rate-determining step. In principle, the time evolution of the reactant and product concentrations can be determined from theWave packet (5,930 words) [view diff] no match in snippet view article find links to article
p;0).\end{aligned}}} The three equalities demonstrate three facts: Time-evolution is equivalent to a translation in phase-space by ( B 3 t 2 , B 3 t )Wigner quasiprobability distribution (5,299 words) [view diff] exact match in snippet view article find links to article
Koopman and John von Neumann: the time evolution of the Wigner function approaches, in the limit ħ → 0, the time evolution of the Koopman–von Neumann wavefunctionInverse scattering transform (2,604 words) [view diff] exact match in snippet view article find links to article
scattering transform), the scattering data evolves forward in time (time evolution), and the scattering data reconstructs the solution forward in timeSpace-oblique Mercator projection (671 words) [view diff] exact match in snippet view article find links to article
generalization of the oblique Mercator projection that incorporates the time evolution of a given satellite ground track to optimize its representation onBorn rule (2,256 words) [view diff] exact match in snippet view article find links to article
where one considers the time evolution of a density matrix, proper normalization is ensured by requiring that the time evolution is a trace-preserving,Spontaneous process (867 words) [view diff] no match in snippet view article find links to article
any external input to the system. A more technical definition is the time-evolution of a system in which it releases free energy and it moves to a lowerVlasov equation (2,505 words) [view diff] exact match in snippet view article find links to article
physics, the Vlasov equation is a differential equation describing time evolution of the distribution function of collisionless plasma consisting of chargedPhase vocoder (941 words) [view diff] exact match in snippet view article find links to article
domain representation into the time domain by the inverse STFT. The time evolution of the resynthesized sound can be changed by means of modifying theDirac sea (2,014 words) [view diff] exact match in snippet view article find links to article
experimental discovery in 1932. In hole theory, the solutions with negative time evolution factors[clarification needed] are reinterpreted as representing theEvolution (radio network) (718 words) [view diff] no match in snippet view article
launching of the similar-formatted Channel Q platform. At the same time, Evolution 101.7 has since stopped broadcasting and it moved Evolution's flagshipVon Neumann entropy (5,049 words) [view diff] exact match in snippet view article find links to article
Holevo's theorem, an important result in quantum information theory. The time evolution of an isolated system is described by a unitary operator: ρ → U ρ UTime reversibility (1,062 words) [view diff] exact match in snippet view article find links to article
between the time-reversed evolution of any one state and the forward-time evolution of another corresponding state, given by the operator equation: U −M103 heavy tank (2,092 words) [view diff] exact match in snippet view article find links to article
during the Cold War. Introduced in 1957, it served until 1974, by which time evolution of the concept of a main battle tank considered heavy tanks obsoleteWandering set (943 words) [view diff] no match in snippet view article find links to article
understood: if a portion of the phase space "wanders away" during normal time-evolution of the system, and is never visited again, then the system is dissipativeNon-equilibrium thermodynamics (6,335 words) [view diff] case mismatch in snippet view article find links to article
Bibcode:1928MNRAS..88..493M. doi:10.1093/mnras/88.6.493. Grandy, W.T. Jr. (2004). "Time Evolution in Macroscopic Systems. I. Equations of Motion". Foundations of PhysicsADM formalism (2,392 words) [view diff] exact match in snippet view article find links to article
the spacetime metric in terms of a lapse function that represents the time evolution between hypersurfaces, and a shift vector that represents spatial coordinateScience Mission Directorate (510 words) [view diff] exact match in snippet view article find links to article
around nearby stars. An understanding of the origin of life and the time evolution of the atmosphere on Earth may reveal likely signatures of life on extrasolarBBGKY hierarchy (1,553 words) [view diff] exact match in snippet view article find links to article
Boltzmann–Grad limit. Schematically, the Liouville equation gives us the time evolution for the whole N {\displaystyle N} -particle system in the form D f NDynamical pictures (3,911 words) [view diff] exact match in snippet view article find links to article
=U(t_{0},t_{0})|\psi (t_{0})\rangle .} Time evolution from t0 to t may be viewed as a two-step time evolution, first from t0 to an intermediate time t1Infiltration (gamer) (1,410 words) [view diff] case mismatch in snippet view article
from Seoul, South Korea, specializing in fighting games. Lee is a six-time Evolution Championship Series (EVO) champion; winning Super Street Fighter IVBlack hole information paradox (8,928 words) [view diff] exact match in snippet view article find links to article
obtained from the wavefunction at t1 and vice versa. The reversibility of time evolution described above applies only at the microscopic level, since the wavefunctionWigner's friend (4,516 words) [view diff] exact match in snippet view article find links to article
in the Copenhagen interpretation: the deterministic and continuous time evolution of the state of a closed system and the nondeterministic, discontinuousField equation (1,303 words) [view diff] exact match in snippet view article find links to article
which determines the dynamics of a physical field, specifically the time evolution and spatial distribution of the field. The solutions to the equationStochastic differential equation (5,665 words) [view diff] exact match in snippet view article find links to article
equation or the Fokker–Planck equation, an equation describing the time evolution of probability distribution functions. The generalization of the Fokker–PlanckNonlinear Schrödinger equation (3,272 words) [view diff] exact match in snippet view article find links to article
Unlike the linear Schrödinger equation, the NLSE never describes the time evolution of a quantum state.[citation needed] The 1D NLSE is an example of anWick rotation (1,489 words) [view diff] exact match in snippet view article find links to article
constant. In quantum mechanics, the transformation exp(−itH/ħ) describes time evolution, where H is an operator describing the energy (the Hamiltonian) andCanonical quantization (4,736 words) [view diff] no match in snippet view article find links to article
observables are constructed as operators on the Hilbert space, and the time-evolution of the operators is governed by the Hamiltonian, which must be a positiveCorrelation function (statistical mechanics) (3,959 words) [view diff] exact match in snippet view article
later times, τ {\displaystyle \tau } . In this case, we neglect the time evolution of the system, so the above definition is re-written with τ = 0 {\displaystyleClosed system (924 words) [view diff] exact match in snippet view article find links to article
∈ H at time t, where H denotes the Hilbert space of the system, the time evolution of this state (between two consecutive measurements). i ℏ ∂ ∂ t Ψ (Lagrangian mechanics (14,711 words) [view diff] exact match in snippet view article find links to article
(specifically, a maximum, minimum, or saddle point) throughout the time evolution of the system. This constraint allows the calculation of the equationsQuantum process (207 words) [view diff] exact match in snippet view article find links to article
quantum process is a somewhat ambiguous term which usually refers to the time evolution of an (open) quantum system. Under very general assumptions, a quantumOpen quantum system (2,808 words) [view diff] exact match in snippet view article find links to article
entanglement, the state of the subsystem is not pure. In general, the time evolution of closed quantum systems is described by unitary operators acting onWormhole (6,969 words) [view diff] exact match in snippet view article find links to article
"world tube" (the time evolution of a closed surface) that cannot be continuously deformed (shrunk) to a world line (the time evolution of a point or observer)Dynamical system (7,094 words) [view diff] exact match in snippet view article find links to article
Φ, is then defined to be a dynamical system. The map Φ embodies the time evolution of the dynamical system. Thus, for discrete dynamical systems the iteratesLandau–Lifshitz model (570 words) [view diff] exact match in snippet view article find links to article
and Evgeny Lifshitz, is a partial differential equation describing time evolution of magnetism in solids, depending on 1 time variable and 1, 2, or 3Liouville's theorem (Hamiltonian) (4,046 words) [view diff] exact match in snippet view article
including stochastic systems. The Liouville equation describes the time evolution of the phase space distribution function. Although the equation is usuallyPath integral formulation (14,277 words) [view diff] no match in snippet view article find links to article
square the time-evolution operator in the S representation: e i ε S , {\displaystyle e^{i\varepsilon S},} and this gives the time-evolution operator betweenQuantum dynamics (564 words) [view diff] exact match in snippet view article find links to article
Hamiltonian, also known as the total energy. Therefore, to anticipate the time evolution of the system, one only needs to determine the initial condition ofMeasurement in quantum mechanics (8,320 words) [view diff] exact match in snippet view article find links to article
_{E}=\sum _{i}p_{i}|\psi _{i}\rangle \langle \psi _{i}|.} Expressing time evolution for a duration t {\displaystyle t} by the unitary operator U = e − iMixing (mathematics) (4,728 words) [view diff] exact match in snippet view article
and set complements; these can always be taken to be measurable. The time evolution of the system is described by a map T : X → X {\displaystyle T:X\toTwo-state quantum system (6,603 words) [view diff] exact match in snippet view article find links to article
\mathbf {U} (t)} is called the time evolution matrix (which comprises the matrix elements of the corresponding time evolution operator U ( t ) {\displaystyleList of equations in quantum mechanics (622 words) [view diff] exact match in snippet view article find links to article
}}[{\hat {H}},{\hat {A}}(t)]+{\frac {\partial {\hat {A}}(t)}{\partial t}}} Time evolution in Heisenberg picture (Ehrenfest theorem) m = mass, V = potential energyDistribution function (physics) (613 words) [view diff] exact match in snippet view article
equilibrium. The mathematical analogue of a distribution is a measure; the time evolution of a measure on a phase space is the topic of study in dynamical systemsElectroencephalography (15,879 words) [view diff] no match in snippet view article find links to article
diagnosis. EEG can detect the onset and spatio-temporal (location and time) evolution of seizures and the presence of status epilepticus. It is also usedNo-cloning theorem (2,330 words) [view diff] no match in snippet view article find links to article
could control the Hamiltonian of the combined system, and thus the time-evolution operator U(t), e.g. for a time-independent Hamiltonian, U ( t ) = eMolecular dynamics (10,208 words) [view diff] exact match in snippet view article find links to article
is known today as the Metropolis–Hastings algorithm. Interest in the time evolution of N-body systems dates much earlier to the seventeenth century, beginningSpontaneous emission (3,200 words) [view diff] exact match in snippet view article find links to article
| b ( t ) | 2 {\displaystyle |b(t)|^{2}} ), one needs to solve the time evolution of the wavefunction with an appropriate Hamiltonian. To solve for theErgodicity (8,917 words) [view diff] exact match in snippet view article find links to article
complements of open sets; these can always be taken to be measurable. The time evolution of the system is described by a map T : X → X {\displaystyle T:X\toLinux on embedded systems (1,115 words) [view diff] case mismatch in snippet view article find links to article
Linux embedded Real Time EvolutionTransformation theory (quantum mechanics) (248 words) [view diff] exact match in snippet view article
"moves" between "positions" or "orientations" in its Hilbert space. Time evolution, quantum transitions, and symmetry transformations in quantum mechanicsStep response (3,782 words) [view diff] exact match in snippet view article find links to article
step response of a system in a given initial state consists of the time evolution of its outputs when its control inputs are Heaviside step functionsMejillones Metamorphic Complex (111 words) [view diff] exact match in snippet view article find links to article
Calderón, M.; Massonne, H.-J.; Hervé, Francisco; Theye, T. (2017). "P–T–time evolution of the Mejillones Metamorphic Complex: Insights into Late Triassic toKinetic Monte Carlo (3,037 words) [view diff] exact match in snippet view article find links to article
is a Monte Carlo method computer simulation intended to simulate the time evolution of some processes occurring in nature. Typically these are processesSymmetry in quantum mechanics (7,915 words) [view diff] no match in snippet view article find links to article
Symmetries in quantum mechanics describe features of spacetime and particles which are unchanged under some transformation, in the context of quantum mechanicsQuantum revival (1,039 words) [view diff] exact match in snippet view article find links to article
recurrence of the quantum wave function from its original form during the time evolution either many times in space as the multiple scaled fractions in the formBrownian motion (7,140 words) [view diff] exact match in snippet view article find links to article
realistic situation. The diffusion equation yields an approximation of the time evolution of the probability density function associated with the position ofKoopman–von Neumann classical mechanics (4,629 words) [view diff] exact match in snippet view article find links to article
mathematical framework. In fact, the time evolution of the Wigner function approaches, in the classical limit, the time evolution of the KvN wavefunction of aSymplectic manifold (3,674 words) [view diff] exact match in snippet view article find links to article
system. In the same way the Hamilton equations allow one to derive the time evolution of a system from a set of differential equations, the symplectic formJoseph Liouville (696 words) [view diff] exact match in snippet view article find links to article
eigenfunctions, and the fact (also known as Liouville's theorem) that time evolution is measure preserving for a Hamiltonian system. In Hamiltonian dynamicsSlitless spectroscopy (317 words) [view diff] exact match in snippet view article find links to article
for astronomical surveys and in fields, such as solar physics, where time evolution is important. Both types of application benefit from higher speed operationHeisenberg–Langevin equations (95 words) [view diff] exact match in snippet view article find links to article
the time evolution of a quantum system is the operators themselves. The solution to the Heisenberg equation of motion determines the subsequent time evolutionRabi cycle (2,365 words) [view diff] exact match in snippet view article find links to article
use the standard prescription of Schrödinger time evolution in quantum mechanics, where the time evolution operator is U ( t ) = e − i H t / ℏ {\displaystyleQuantum decoherence (10,522 words) [view diff] exact match in snippet view article find links to article
probability—be rapidly separated from each other by their natural unitary time evolution along their own independent paths. After a very short interaction, thereInternational Standard Atmosphere (1,579 words) [view diff] exact match in snippet view article find links to article
Environment Technologies taking into account realistic solar irradiances and time evolution of geomagnetic storms. It is most useful for calculating satellite orbitalAllen–Cahn equation (857 words) [view diff] exact match in snippet view article find links to article
systems, including order-disorder transitions. The equation describes the time evolution of a scalar-valued state variable η {\displaystyle \eta } on a domainFriedmann equations (4,441 words) [view diff] exact match in snippet view article find links to article
fluid with a given equation of state, the Friedmann equations yield the time evolution and geometry of the universe as a function of the fluid density. RelativisiticExpansion of the universe (4,556 words) [view diff] exact match in snippet view article find links to article
factor a {\displaystyle a} is a parameter of the FLRW metric, and its time evolution is governed by the Friedmann equations. The second Friedmann equationBig Bang (15,947 words) [view diff] exact match in snippet view article find links to article
Time evolution of light element abundances during Big Bang nucleosynthesisPhase plane (1,231 words) [view diff] no match in snippet view article find links to article
vectors) is a phase path. The flows in the vector field indicate the time-evolution of the system the differential equation describes. In this way, phasePaul Glendinning (550 words) [view diff] no match in snippet view article find links to article
known for his work on dynamical systems, specifically models of the time-evolution of complex mathematical or physical processes. His main areas of researchQuasiprobability distribution (3,379 words) [view diff] no match in snippet view article find links to article
A quasiprobability distribution is a mathematical object similar to a probability distribution but which relaxes some of Kolmogorov's axioms of probabilityTransfer operator (797 words) [view diff] exact match in snippet view article find links to article
chaos and statistical mechanics, where attention is focused on the time evolution of smooth functions. In turn, this has medical applications to rationalDynamical reduction (195 words) [view diff] exact match in snippet view article find links to article
experiments. The reason that QM does not account for measurements is that the time evolution of the quantum state of a system is described probabilistically by linearBob Johnston (1,619 words) [view diff] no match in snippet view article find links to article
Perkins: Go Cat Go! (1996) Eron Falbo: 73 (2013) Hector Ward and The Big Time: Evolution: Live at the Saxon Pub (2016) Evans, Rush (February 8, 2011). "DylanFelix Bloch (1,499 words) [view diff] exact match in snippet view article find links to article
of MRI. In 1946 he proposed the Bloch equations which determine the time evolution of nuclear magnetization. He was elected to the United States NationalStable manifold (1,167 words) [view diff] exact match in snippet view article find links to article
has discrete-time dynamics. Similar notions apply for systems whose time evolution is given by a flow. Let X {\displaystyle X} be a topological space,Scanning tunneling microscope (7,166 words) [view diff] exact match in snippet view article find links to article
orthonormal sets of wave functions for the two electrodes and examines their time evolution as the systems are put close together. Bardeen's novel method, ingeniousButterfly effect (5,515 words) [view diff] exact match in snippet view article find links to article
observed in quantum systems. Zbyszek P. Karkuszewski et al. consider the time evolution of quantum systems which have slightly different Hamiltonians. TheyOblique Mercator projection (555 words) [view diff] exact match in snippet view article find links to article
a generalization of the oblique Mercator projection to incorporate time evolution of a satellite ground track. List of map projections Mercator projectionContact dynamics (1,337 words) [view diff] exact match in snippet view article find links to article
systems with unilateral contacts and friction can be modeled and how the time evolution of such systems can be obtained by numerical integration. In additionHeat death of the universe (3,432 words) [view diff] case mismatch in snippet view article find links to article
Longmans, Green. p. 101. Grandy, Walter T. Jr. (2008). Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press. p. 151. ISBN 978-0-19-954617-6Quantum finite automaton (3,639 words) [view diff] exact match in snippet view article find links to article
quantum-mechanical state; the unitary matrices can be thought of as governing the time evolution of the system (viz in the Schrödinger picture). The generalization fromIsland (5,735 words) [view diff] no match in snippet view article find links to article
these fish cannot traverse the ocean on their own. Over the course of time, evolution and extinction changes the nature of animal life on a continental islandNon-functional requirement (931 words) [view diff] no match in snippet view article find links to article
security and usability, which are observable during operation (at run time). Evolution qualities, such as testability, maintainability, extensibility andOptical spectrometer (1,765 words) [view diff] exact match in snippet view article find links to article
spectrograph. That is useful in applications such as solar physics where time evolution is important. Circular dichroism Cosmic Origins Spectrograph Czerny-TurnerPrognostic equation (116 words) [view diff] exact match in snippet view article find links to article
instance, the well-known Navier-Stokes equations that describe the time evolution of a fluid are prognostic equations that predict the future distributionGLAST (tokamak) (1,192 words) [view diff] exact match in snippet view article
time-resolved information on plasma parameters in the edge region. The time evolution of whole discharge including microwave pre-ionization phase and currentS-matrix (9,213 words) [view diff] no match in snippet view article find links to article
the S-operator. The great advantage of this definition is that the time-evolution operator U evolving a state in the interaction picture is formally knownConserved quantity (522 words) [view diff] exact match in snippet view article find links to article
function f of the generalized coordinates q and generalized momenta p has time evolution d f d t = { f , H } + ∂ f ∂ t {\displaystyle {\frac {\mathrm {d} f}{\mathrmAlgae (10,461 words) [view diff] no match in snippet view article find links to article
Martin; Henrissat, Bernard; Field, Robert A. (2015). "Euglena in time: Evolution, control of central metabolic processes and multi-domain proteins inAtmospheric chemistry (2,588 words) [view diff] exact match in snippet view article find links to article
constructs the ordinary differential equations that describe their time evolution, greatly reducing the time and effort required for model constructionTranslation operator (quantum mechanics) (6,344 words) [view diff] exact match in snippet view article
{U}}(t)]=0} where U ^ ( t ) {\displaystyle {\hat {U}}(t)} is the unitary time evolution operator. When the Hamiltonian is time independent, U ^ ( t ) = expNo-hiding theorem (950 words) [view diff] exact match in snippet view article find links to article
conservation of entropy holds for a quantum system undergoing unitary time evolution and that if entropy represents information in quantum theory, then itAdS/CFT correspondence (6,680 words) [view diff] exact match in snippet view article find links to article
Schrödinger equation. This property is usually referred to as unitarity of time evolution. The apparent contradiction between Hawking's calculation and the unitarityThe Discoverers (1,221 words) [view diff] no match in snippet view article find links to article
science, medicine, mathematics, and more-theoretical ones, such as time, evolution, plate tectonics, and relativity. Boorstin praises the inventive, humanTrough (economics) (122 words) [view diff] exact match in snippet view article
is a low turning point or a local minimum of a business cycle. The time evolution of many economics variables exhibits a wave-like behavior with localEvolution of a Filipino Family (300 words) [view diff] case mismatch in snippet view article find links to article
Decade List of longest films List of films with longest production time Evolution of a Filipino Family (2004) - IMDb, retrieved December 9, 2020 "EvolutionSecond law of thermodynamics (15,472 words) [view diff] case mismatch in snippet view article find links to article
ISBN 0-521-25677-1, pp. 43–44. Grandy, W.T., Jr (2008). Entropy and the Time Evolution of Macroscopic Systems, Oxford University Press, Oxford, ISBN 978-0-19-954617-6Chameleon (6,283 words) [view diff] exact match in snippet view article find links to article
their blue vertical bars covered by red pigment cells. (b) Red dots: time evolution in the CIE chromaticity chart of a third male with green skin in a high-resolutionEmergence (6,234 words) [view diff] exact match in snippet view article find links to article
from a micro state space A to a macro state space B that commutes with time evolution, without requiring any further decomposition into subsystems. Type‑1Current density (2,812 words) [view diff] exact match in snippet view article find links to article
this term would not predict electromagnetic waves to propagate, or the time evolution of electric fields in general. Since charge is conserved, current densityWheeler–DeWitt equation (1,668 words) [view diff] exact match in snippet view article find links to article
assign to one of the coordinate axes. Thus, what we think about as time evolution of any physical system is just a gauge transformation, similar to thatQuantum number (3,266 words) [view diff] exact match in snippet view article find links to article
quantized system requires at least one quantum number. The dynamics (i.e. time evolution) of any quantum system are described by a quantum operator in the formLoop quantum gravity (16,616 words) [view diff] exact match in snippet view article find links to article
constraints, it can be shown that six Einstein equations describing time evolution (really a gauge transformation) can be obtained by calculating the PoissonHD 128311 (848 words) [view diff] exact match in snippet view article find links to article
Time evolution of orbital elements in the system HD128311. This left panel in this plot shows the most likely formation scenario for the planetary systemOpen access (17,996 words) [view diff] no match in snippet view article find links to article
PMID 32924933. Wikidata Q99410785. "Institutions' open access over time: Evolution of green and gold OA". storage.googleapis.com. Curtin Open KnowledgeWave function (13,587 words) [view diff] exact match in snippet view article find links to article
spin terms). The time dependence can be placed in either factor, and time evolution of each can be studied separately. Under such Hamiltonians, any tensorDynamic structure factor (626 words) [view diff] exact match in snippet view article find links to article
that contains information about inter-particle correlations and their time evolution. It is a generalization of the structure factor that considers correlationsWave function (13,587 words) [view diff] exact match in snippet view article find links to article
spin terms). The time dependence can be placed in either factor, and time evolution of each can be studied separately. Under such Hamiltonians, any tensorClassical mechanics (5,837 words) [view diff] exact match in snippet view article find links to article
at a stationary point (a maximum, minimum, or saddle) throughout the time evolution of the system. This constraint allows the calculation of the equationsSupersaturation (2,662 words) [view diff] exact match in snippet view article find links to article
Time evolution of the concentration of a solute in a solution when it receives a constant inflow of the solute, according to the LaMer model.Quantum state (5,551 words) [view diff] exact match in snippet view article find links to article
time dependent. How a quantum state changes in time is governed by the time evolution operator. A mixed quantum state corresponds to a probabilistic mixtureTime-domain harmonic scaling (242 words) [view diff] no match in snippet view article find links to article
articulation to be changed without affecting the pitch-contour and the time-evolution of the formant structure. TDHS differs from other time-scale modificationFarr's laws (534 words) [view diff] no match in snippet view article find links to article
epidemic events rise and fall in a roughly symmetrical pattern. The time-evolution behavior could be captured by a single mathematical formula that couldTopological quantum field theory (3,764 words) [view diff] exact match in snippet view article find links to article
quantum theory and a physical theory, with a Hamiltonian H, will have a time evolution operator eitH or an "imaginary time" operator e−tH. The main featureLoschmidt's paradox (1,682 words) [view diff] exact match in snippet view article find links to article
to Maxwell's demon, see below) for an entity that is able to reverse time evolution in a microscopic system, in their case of nuclear spins, which is indeedAdiabatic theorem (4,537 words) [view diff] no match in snippet view article find links to article
evolution of the system can be described in the Schrödinger picture by the time-evolution operator, defined by the integral equation U ^ ( t , t 0 ) = 1 − i ℏProblem of time (2,526 words) [view diff] exact match in snippet view article find links to article
problem. The non-relativistic equation of quantum mechanics includes time evolution: i ℏ ∂ ∂ t ψ ( t ) = H ψ ( t ) , {\displaystyle i\hbar {\frac {\partialString theory (15,290 words) [view diff] exact match in snippet view article find links to article
Schrödinger equation. This property is usually referred to as unitarity of time evolution. The apparent contradiction between Hawking's calculation and the unitarityOpen access in Australia (1,338 words) [view diff] no match in snippet view article find links to article
ISSN 2050-084X. PMC 7536542. PMID 32924933. "Institutions' open access over time: Evolution of green and gold OA". storage.googleapis.com. Curtin Open KnowledgeNakajima–Zwanzig equation (1,529 words) [view diff] exact match in snippet view article find links to article
Nakajima and Robert Zwanzig) is an integral equation describing the time evolution of the "relevant" part of a quantum-mechanical system. It is formulatedLiquid (7,399 words) [view diff] exact match in snippet view article find links to article
well-known example: they are partial differential equations giving the time evolution of density, velocity, and temperature of a viscous fluid. There areSonic black hole (1,200 words) [view diff] exact match in snippet view article find links to article
2021). "Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole". Nature Physics. 17 (3): 362–367. arXiv:1910Quantum tunnelling (6,490 words) [view diff] exact match in snippet view article find links to article
Using mathematical formulations, such as the Schrödinger equation, the time evolution of a known wave function can be deduced. The square of the absoluteDispersion (optics) (3,420 words) [view diff] exact match in snippet view article
Time evolution of a short pulse in a hypothetical dispersive medium (k = ω2) showing that the longer-wavelength components travel faster than the shorter-wavelengthFermi's golden rule (3,948 words) [view diff] exact match in snippet view article find links to article
{\displaystyle H=H_{0}+H'} . We can still expand an arbitrary quantum state’s time evolution in terms of energy eigenstates of the unperturbed system, but theseTime-dependent variational Monte Carlo (516 words) [view diff] exact match in snippet view article find links to article
are time-independent operators that define the specific ansatz. The time evolution of the parameters a k ( t ) {\displaystyle a_{k}(t)} can be found uponHawking radiation (5,939 words) [view diff] exact match in snippet view article find links to article
2021). "Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole". Nature Physics. 17 (3): 362–367. arXiv:1910Glossary of elementary quantum mechanics (2,522 words) [view diff] exact match in snippet view article find links to article
equation relates the Hamiltonian operator acting on a wave function to its time evolution (Equation 1): i ℏ ∂ ∂ t | α ⟩ = H ^ | α ⟩ {\displaystyle i\hbar {\fracLeggett–Garg inequality (1,918 words) [view diff] exact match in snippet view article find links to article
mechanics, the Leggett–Garg inequality is violated, meaning that the time evolution of a system cannot be understood classically. The situation is similarGeometric Brownian motion (2,140 words) [view diff] exact match in snippet view article find links to article
function for GBM, we must use the Fokker-Planck equation to evaluate the time evolution of the PDF: ∂ p ∂ t + ∂ ∂ S [ μ ( t , S ) p ( t , S ) ] = 1 2 ∂ 2 ∂K. L. Sebastian (541 words) [view diff] exact match in snippet view article find links to article
PhD student, he proposed an almost analytical method to analyze the time evolution of the FMO complex. More recently he has started working on Levy flightsQuantum electrodynamics (6,577 words) [view diff] exact match in snippet view article find links to article
The evolution operator is obtained in the interaction picture, where time evolution is given by the interaction Hamiltonian, which is the integral overBorel functional calculus (1,698 words) [view diff] exact match in snippet view article find links to article
mechanical system S. The unitary group generated by iH corresponds to the time evolution of S. We can also use the Borel functional calculus to abstractly solveFluorescence intensity decay shape microscopy (469 words) [view diff] exact match in snippet view article find links to article
(FIDSAM) is a fluorescence microscope technique, which utilizes the time evolution of fluorescence emission after a pulsed excitation to analyse the decayHamilton–Jacobi equation (8,209 words) [view diff] exact match in snippet view article find links to article
time evolution of the generalized coordinates. Similarly, Hamilton's equations of motion are another system of 2N first-order equations for the time evolutionMegalith (8,036 words) [view diff] exact match in snippet view article find links to article
are found in almost all parts of South Asia. There is also a broad time evolution with the megaliths in central India and the upper Indus valley whereChlorofluorocarbon (6,594 words) [view diff] exact match in snippet view article find links to article
ocean interior reflects simply the convolution of their atmospheric time evolution and ocean circulation and mixing. The entry of CFCs into the ocean makesHamiltonian system (1,369 words) [view diff] exact match in snippet view article find links to article
system, the phase-space volume of a closed surface is preserved under time evolution. d d t ∮ ∂ V d r = ∮ ∂ V d r d t ⋅ d n ^ ∂ V = ∮ ∂ V ( M N ∇ r H ( rCepheid variable (4,309 words) [view diff] case mismatch in snippet view article find links to article
Lives of Cepheids: A Multi-Wavelength Study of the Atmospheres and Real-Time Evolution of Classical Cepheids (Thesis). arXiv:1504.02713. Bibcode:2015PhDT.Yellow hypergiant (3,828 words) [view diff] case mismatch in snippet view article find links to article
Gardner, Tyler; Gutierrez, Mayra; Köhler, Rainer (September 2024). "Time Evolution Images of the Hypergiant RW Cephei during the Rebrightening Phase FollowingKaon (3,216 words) [view diff] exact match in snippet view article find links to article
Gell-Mann and Abraham Pais together. They considered the CP-invariant time evolution of states with opposite strangeness. In matrix notation one can writeSuperoperator (820 words) [view diff] exact match in snippet view article find links to article
{\frac {\partial }{\partial t}}\Psi ={\hat {H}}\Psi } , expresses the time evolution of the state vector ψ {\displaystyle \psi } by the action of the HamiltonianHydrogen atom (6,024 words) [view diff] exact match in snippet view article find links to article
model; it allows one to calculate the stationary states and also the time evolution of quantum systems. Exact analytical answers are available for the nonrelativisticQuTiP (935 words) [view diff] exact match in snippet view article find links to article
sesolve(Hamiltonian, psi, times, [psi.proj(), phi.proj()]) # unitary time evolution of a system according to schroedinger equation >>> expectpsi, expectphiDouble pendulum (2,579 words) [view diff] exact match in snippet view article find links to article
Parametric plot for the time evolution of the angles of a double pendulum. Note that the graph resembles Brownian motion.Quantum Boltzmann equation (972 words) [view diff] exact match in snippet view article find links to article
modification of the Boltzmann equation, which gives the nonequilibrium time evolution of a gas of quantum-mechanically interacting particles. Typically, theMatrix mechanics (10,615 words) [view diff] exact match in snippet view article find links to article
X_{nm}=X_{mn}^{*}.} By definition, Xnm only has the frequency En − Em/h, so its time evolution is simple: X n m ( t ) = e 2 π i ( E n − E m ) t / h X n m ( 0 ) = eAttosecond physics (6,077 words) [view diff] exact match in snippet view article find links to article
P(t)=\langle \Psi |{\hat {P}}|\Psi \rangle } , as a consequence the time evolution of this observable is: P ( t ) = | c g | 2 ⟨ 0 | P ^ | 0 ⟩ + | c e |Geostrophic wind (1,278 words) [view diff] exact match in snippet view article find links to article
ageostrophic terms are relatively small, they are essential for the time evolution of the flow and in particular are necessary for the growth and decayQuantum Boltzmann equation (972 words) [view diff] exact match in snippet view article find links to article
modification of the Boltzmann equation, which gives the nonequilibrium time evolution of a gas of quantum-mechanically interacting particles. Typically, theFriedmann–Lemaître–Robertson–Walker metric (3,625 words) [view diff] exact match in snippet view article find links to article
of distances.: 147 To apply the metric to cosmology and predict its time evolution requires Einstein's field equations together with a way of calculatingTechnical analysis (7,266 words) [view diff] exact match in snippet view article find links to article
halfway between the two. Starting from the characterization of the past time evolution of market prices in terms of price velocity and price acceleration,Symplectic integrator (3,403 words) [view diff] exact match in snippet view article find links to article
canonical coordinates. (See Hamiltonian mechanics for more background.) The time evolution of Hamilton's equations is a symplectomorphism, meaning that it conservesEntropy (energy dispersal) (2,417 words) [view diff] case mismatch in snippet view article
Dordrecht, pp. 1–27, page 24. Grandy, Walter T. Jr. (2008). Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press. pp. 55–58. ISBN 978-0-19-954617-6Gaussian function (5,023 words) [view diff] exact match in snippet view article find links to article
the same thing), a partial differential equation that describes the time evolution of a mass-density under diffusion. Specifically, if the mass-densityQuantum Bayesianism (8,310 words) [view diff] exact match in snippet view article find links to article
{\rho }}} with SIC representation P ( H i ) {\textstyle P(H_{i})} . The time evolution of this state is found by applying a unitary operator U ^ {\displaystyleLindbladian (3,805 words) [view diff] exact match in snippet view article find links to article
laser. In the canonical formulation of quantum mechanics, a system's time evolution is governed by unitary dynamics. This implies that there is no decayFourier transform (21,314 words) [view diff] no match in snippet view article find links to article
practical use in quantum mechanics. Boundary value problems and the time-evolution of the wave function is not of much practical interest: it is the stationaryVicsek model (1,187 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \Theta _{i}(t)} at time t {\displaystyle t} . The discrete time evolution of one particle is set by two equations: At each time step Δ t {\displaystylePeter R. Holland (1,045 words) [view diff] exact match in snippet view article find links to article
and upon methods of hydrodynamics, Holland showed in 2004 how the time evolution of the wavefunction could be derived exactly from the dynamical evolutionKhajuraho Group of Monuments (4,957 words) [view diff] no match in snippet view article find links to article
destroys and recycles life, thereby controlling the cosmic dance of time, evolution and dissolution. The temples have a rich display of intricately carvedFluctuation–dissipation theorem (4,352 words) [view diff] exact match in snippet view article find links to article
follows, under the assumptions of the linear response theory, from the time evolution of the ensemble average of the observable ⟨ x ^ ( t ) ⟩ {\displaystyleHerbig–Haro object (4,001 words) [view diff] exact match in snippet view article find links to article
Raga, A.; Reipurth, B.; Velázquez, P.; et al. (December 2016). "The time evolution of HH 2 from four epochs of HST images". Astronomical Journal. 152 (6):Hegerfeldt's theorem (522 words) [view diff] exact match in snippet view article find links to article
Specifically, Hegerfeldt's theorem refers to a free particle whose time evolution is determined by a positive Hamiltonian. If the particle is initiallyHeavy Rydberg system (746 words) [view diff] no match in snippet view article find links to article
energy levels and the rate of time-evolution of the wavefunction depends on this energy spacing. This slow time-evolution makes heavy Rydberg systems idealHamiltonian mechanics (9,323 words) [view diff] exact match in snippet view article find links to article
^{2}\sin ^{2}\theta }}-mg\ell \cos \theta .} Hamilton's equations give the time evolution of coordinates and conjugate momenta in four first-order differentialTrue polar wander (1,220 words) [view diff] exact match in snippet view article find links to article
spin axis lies close to the main axis of inertia of the body, and the time evolution of the latter is driven by gradual readjustment of the rotational bulgeVic Lockman (580 words) [view diff] no match in snippet view article find links to article
(Catechism) - Book II English Grammar & Stories With Cartoons Father Time (Evolution Defeated) Forgotten Minority (Exclusive Psalmody) God's Law for ModernInterpretations of quantum mechanics (8,022 words) [view diff] exact match in snippet view article find links to article
Schrödinger's original intent, which was to have a theory with continuous time evolution and in which wavefunctions directly described physical reality.: 24–33Symplectic group (3,109 words) [view diff] exact match in snippet view article find links to article
preserve the canonical commutation relation. It can be shown that the time evolution of this system is equivalent to an action of the real symplectic groupAmos Hawley (1,094 words) [view diff] no match in snippet view article find links to article
because a series of events within a state of time cannot go backward in time. Evolution, as viewed by those in the scientific community was an outcome of cumulativeHilbert space (17,489 words) [view diff] exact match in snippet view article find links to article
_{0}^{T}U_{t}x\,\mathrm {d} t\,.} For an ergodic system, the fixed set of the time evolution consists only of the constant functions, so the ergodic theorem impliesSupersymmetry (7,569 words) [view diff] exact match in snippet view article find links to article
continuity—infinitely close points will remain close during continuous time evolution even in the presence of noise. When the topological supersymmetry isIntroduction to quantum mechanics (7,531 words) [view diff] no match in snippet view article find links to article
software). Atoms and the Periodic Table Single and double slit interference Time-Evolution of a Wavepacket in a Square Well An animated demonstration of a waveCopenhagen interpretation (9,942 words) [view diff] exact match in snippet view article find links to article
portrayed, Copenhagen-type interpretations involve two different kinds of time evolution for wave functions, the deterministic flow according to the SchrödingerGood quantum number (1,409 words) [view diff] exact match in snippet view article find links to article
}{\partial t}}|\Psi \rangle =E_{\Psi }|\Psi \rangle } It gives the time evolution of the state of the system as: | Ψ ( t ) ⟩ = e − i E Ψ t / ℏ | Ψ ( 0Exponentiation (13,629 words) [view diff] exact match in snippet view article find links to article
wave equation, and other partial differential equations including a time evolution. The special case of exponentiating the derivative operator to a non-integerMølmer–Sørensen gate (5,692 words) [view diff] exact match in snippet view article find links to article
displacement operator A ^ k ( t ) {\displaystyle {\hat {A}}_{k}(t)} . The time evolution operator is obtained through the Magnus expansion U ( t ) = e ∑ l =Carleman matrix (2,942 words) [view diff] exact match in snippet view article find links to article
Maps, online preprint, 1997. P. Gralewicz, K. Kowalski, Continuous time evolution from iterated maps and Carleman linearization, online preprint, 2000Dirac bracket (4,832 words) [view diff] exact match in snippet view article find links to article
H + ∑ k U k ϕ k . {\displaystyle H'=H+\sum _{k}U_{k}\phi _{k}.} The time evolution of a function on the phase space, f, is governed by f ˙ ≈ { f , H TGillespie algorithm (3,119 words) [view diff] no match in snippet view article find links to article
Kolmogorov introduced the differential equations corresponding to the time-evolution of stochastic processes that proceed by jumps, today known as KolmogorovQuantum harmonic oscillator (6,952 words) [view diff] exact match in snippet view article find links to article
^{*}a}}|0\rangle .} Since coherent states are not energy eigenstates, their time evolution is not a simple shift in wavefunction phase. The time-evolved statesObserver (quantum physics) (1,671 words) [view diff] exact match in snippet view article
measuring instrument, that lies outside the principles governing the time evolution of the wave function ψ, in order to account for the so-called "collapseFreeman Dyson (8,580 words) [view diff] exact match in snippet view article find links to article
pp. 645–706. "Quantum Theory of Radiation Interactions – Chapter 5: Time evolution" (PDF). OpenCourseWare. MIT. Archived (PDF) from the original on 14Dmitry Dolgopyat (977 words) [view diff] exact match in snippet view article find links to article
mathematician specializing in dynamical systems, a field that studies the time evolution of natural and abstract systems. An internationally acclaimed lecturerTerahertz spectroscopy and technology (2,136 words) [view diff] exact match in snippet view article find links to article
antennas and electro-optical sampling, that can be applied to measure the time evolution of ETHz(t) directly. For example, one can propagate a THz pulse throughTsallis entropy (2,563 words) [view diff] exact match in snippet view article find links to article
PMID 21231636. S2CID 14831948. Ribeiro, M.; Nobre, F.; Curado, E. M. (2012). "Time evolution of interacting vortices under overdamped motion" (PDF). Physical ReviewAmyloid (6,536 words) [view diff] exact match in snippet view article find links to article
Knowles, Vendruscolo, Cohen, Michaels and coworkers and considers the time evolution of the concentration f ( t , j ) {\displaystyle f(t,j)} of fibrils ofMatt Tremont (1,887 words) [view diff] no match in snippet view article find links to article
Briscoe Brothers and captured the GCW Tag Team titles for the first time. Evolution Pro Wrestling EPW Openweight Championship (1 time) Interspecies WrestlingEvolving network (1,866 words) [view diff] exact match in snippet view article find links to article
networks. Moreover, the concept of scale free networks shows us that time evolution is a necessary part of understanding the network's properties, and thatCanonical transformation (12,419 words) [view diff] no match in snippet view article find links to article
In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (q, p) → (Q, P) that preserves the form of Hamilton's equationsDe Broglie–Bohm theory (16,722 words) [view diff] exact match in snippet view article find links to article
of the universe. The one-particle Schrödinger equation governs the time evolution of a complex-valued wavefunction on R 3 {\displaystyle \mathbb {R} ^{3}}Zero-point energy (26,815 words) [view diff] exact match in snippet view article find links to article
operator A(t) evolves in time as A(t) = U†(t)A(0)U(t), where U(t) is the time evolution operator satisfying i ℏ U ˙ = H U , U † ( t ) = U − 1 ( t ) , U ( 0List of largest stars (12,781 words) [view diff] case mismatch in snippet view article find links to article
Gardner, Tyler; Gutierrez, Mayra; Köhler, Rainer (September 2024). "Time Evolution Images of the Hypergiant RW Cephei during the Rebrightening Phase FollowingFractal dimension (4,747 words) [view diff] exact match in snippet view article find links to article
speak about a distribution of fractal dimensions and, eventually, a time evolution of the latter: a process that is driven by a complex interplay betweenCognitive model (3,598 words) [view diff] exact match in snippet view article find links to article
emerge from the agent-environment interaction. At the second level of time evolution, behavior can be expressed as a dynamical system represented as a vectorSaint Petersburg Metro (4,465 words) [view diff] exact match in snippet view article find links to article
Time evolution of the number of stations.SABR volatility model (2,483 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \sigma } are represented by stochastic state variables whose time evolution is given by the following system of stochastic differential equations:Neutrino oscillation (7,497 words) [view diff] exact match in snippet view article find links to article
Time evolution of the pendulumsExtremal principles in non-equilibrium thermodynamics (6,097 words) [view diff] exact match in snippet view article find links to article
(2004). Time evolution in macroscopic systems. I: Equations of motion. Found. Phys. 34: 1-20. See [1]. Grandy, W.T., Jr (2004). Time evolution in macroscopicCanonical quantum gravity (3,809 words) [view diff] exact match in snippet view article find links to article
quantum gravity. It can be shown that six Einstein equations describing time evolution (really a gauge transformation) can be obtained by calculating the PoissonQuantum thermodynamics (5,074 words) [view diff] exact match in snippet view article find links to article
assumption is that the entire world is a large closed system, and therefore, time evolution is governed by a unitary transformation generated by a global HamiltonianDensity functional theory (10,626 words) [view diff] exact match in snippet view article find links to article
dynamical density functional theory (DDFT). DDFT allows to describe the time evolution of the one-body density ρ ( r , t ) {\displaystyle \rho ({\boldsymbolMatter wave (8,040 words) [view diff] exact match in snippet view article find links to article
non-relativistic Schrödinger equation. The Schrödinger equation describes the time evolution of a wavefunction, a function that assigns a complex number to eachMarian Smoluchowski (1,512 words) [view diff] exact match in snippet view article find links to article
became a basis for the theory of stochastic processes. It describes the time evolution of the probability density function for a particle undergoing BrownianTrapped-ion quantum computer (3,589 words) [view diff] exact match in snippet view article find links to article
performed on the qubit can be derived using the principles of quantum time evolution. Although this model utilizes the rotating wave approximation, it provesIntroduction to evolution (9,058 words) [view diff] no match in snippet view article find links to article
relationship we observe today. Given the right circumstances, and enough time, evolution leads to the emergence of new species. Scientists have struggled toPhacops (1,788 words) [view diff] no match in snippet view article find links to article
I. (1975). "The distribution of phacopid trilobites in space and time". Evolution and morphology of the Trilobita, Trilobitoidea and Merostomata. VolHierarchical equations of motion (1,400 words) [view diff] exact match in snippet view article find links to article
{\displaystyle J(\omega )} (see below). HEOMs are developed to describe the time evolution of the density matrix ρ ( t ) {\displaystyle \rho (t)} for an open quantumCoRoT (14,056 words) [view diff] exact match in snippet view article find links to article
discovery of hundreds of frequencies in δ Scuti stars, the spectacular time evolution of the frequency spectrum of a Be (emission lines B) star during anHistory of quantum field theory (5,644 words) [view diff] no match in snippet view article find links to article
creation and annihilation operators. This allows for keeping track of the time-evolution of both the "bare" and "renormalized", or perturbed, values of the HamiltonianQuantum mechanics of time travel (2,139 words) [view diff] exact match in snippet view article find links to article
how quantum systems interact with closed timelike curves (CTCs) using time evolution equations. This method aims to address paradoxes like the grandfatherSecondary electrospray ionization (2,638 words) [view diff] exact match in snippet view article find links to article
not need to be interfered with. This allows to seamlessly capture the time evolution of their metabolism and their response to controlled stimuli. SESI hasGene regulatory network (6,096 words) [view diff] exact match in snippet view article find links to article
(1976). "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions". J. Comput. Phys. 22 (4): 403–34. Bibcode:1976JCoPhThin-film equation (1,430 words) [view diff] exact match in snippet view article find links to article
is a partial differential equation that approximately predicts the time evolution of the thickness h of a liquid film that lies on a surface. The equationSquarewave voltammetry (910 words) [view diff] exact match in snippet view article find links to article
instead of separate forward and reverse current plots, and significant time evolution between potential reversal and current sampling, high sensitivity screeningSergei Godunov (482 words) [view diff] exact match in snippet view article find links to article
as piecewise constant over the mesh cells at each time step and the time evolution is determined by the exact solution of the Riemann (shock tube) problemQuark–gluon plasma (7,413 words) [view diff] exact match in snippet view article find links to article
collisions. They are produced, by various mechanisms spanning the space-time evolution of the strongly interacting fireball. They provide in principle a snapshotPropagator (6,183 words) [view diff] no match in snippet view article find links to article
|}U(t,t'){\big |}x'{\big \rangle },} where U(t, t′) is the unitary time-evolution operator for the system taking states at time t′ to states at time tGain (laser) (808 words) [view diff] exact match in snippet view article
analogy between paraxial propagation of quasi-monochromatic waves and time evolution of a dynamic system. Round-trip gain, gain multiplied by the lengthCold Atom Laboratory (679 words) [view diff] exact match in snippet view article find links to article
interacting asymmetrically with the apparatus, interfering with the time evolution of the condensate. In orbit, experiments can last much longer becauseThermalisation (1,322 words) [view diff] case mismatch in snippet view article find links to article
S2CID 4005098. Caux, Jean-Sébastien; Essler, Fabian H. L. (2013-06-18). "Time Evolution of Local Observables After Quenching to an Integrable Model". PhysicalConjugate prior (2,246 words) [view diff] exact match in snippet view article find links to article
hyperparameters, so one can see the change in hyperparameters as a kind of "time evolution" of the system, corresponding to "learning". Starting at different pointsPericline (105 words) [view diff] exact match in snippet view article find links to article
20th ed., ISBN 0-471-80580-7 Tsatskis, I. and E.K.H. Salje (1996) Time evolution of pericline twin domains in alkali feldspars, American MineralogistZeta Geminorum (2,222 words) [view diff] case mismatch in snippet view article find links to article
Lives of Cepheids: A Multi-Wavelength Study of the Atmospheres and Real-Time Evolution of Classical Cepheids (Thesis). arXiv.org. arXiv:1504.02713. Bibcode:2015PhDTGoldstone boson (3,717 words) [view diff] no match in snippet view article find links to article
intermediate states in a nonvanishing current commutator can lead to vanishing time-evolution only when one or more of these states is massless.) Thus, if the vacuumQuantum machine learning (10,788 words) [view diff] exact match in snippet view article find links to article
weighted equally. Then the time-dependent Schrödinger equation guides the time evolution of the system, serving to affect the amplitude of each state as timeFeynman diagram (15,967 words) [view diff] no match in snippet view article find links to article
|S|\mathrm {i} \rangle \;,} where S is the S-matrix. In terms of the time-evolution operator U, it is simply S = lim t 2 → + ∞ lim t 1 → − ∞ U ( t 2 , tArgyroderma (406 words) [view diff] no match in snippet view article find links to article
(Aizoaceae): unraveling the effects of landscape, habitat, and flowering time". Evolution. 60 (1): 39–55. doi:10.1111/j.0014-3820.2006.tb01080.x. PMID 16568630Reynolds-averaged Navier–Stokes equations (2,335 words) [view diff] exact match in snippet view article find links to article
{S}}_{ij}-\rho {\overline {u_{i}^{\prime }u_{j}^{\prime }}}\right].} The time evolution equation of Reynolds stress is given by: ∂ u i ′ u j ′ ¯ ∂ t + u ¯ kStellar dynamics (17,631 words) [view diff] exact match in snippet view article find links to article
in the early 20th century. The Jeans equations, which describe the time evolution of a system of stars in a gravitational field, are analogous to Euler'sDecoded Feedback (1,290 words) [view diff] case mismatch in snippet view article find links to article
combination of "strength and beauty" in their compositions. By the time Evolution was released, they created a blend of industrial and electronic bodyRate equation (7,576 words) [view diff] no match in snippet view article find links to article
through X N ( t ) {\displaystyle X_{N}(t)} , an analytic form for the time-evolution of the species can be found. Let the rate constant of conversion fromSystem size expansion (2,720 words) [view diff] exact match in snippet view article find links to article
quantities subject to stochastic effects. A master equation describes the time evolution of this probability. Henceforth, a system of chemical reactions willV1005 Orionis (1,786 words) [view diff] no match in snippet view article find links to article
"Relation of X-ray activity and rotation in M dwarfs and predicted time-evolution of the X-ray luminosity", Astronomy & Astrophysics, 638: 14, arXiv:2004Argyroderma (406 words) [view diff] no match in snippet view article find links to article
(Aizoaceae): unraveling the effects of landscape, habitat, and flowering time". Evolution. 60 (1): 39–55. doi:10.1111/j.0014-3820.2006.tb01080.x. PMID 16568630Korteweg–De Vries equation (3,206 words) [view diff] exact match in snippet view article find links to article
δ2uxxx = 0 (δ = 0.022) with an initial condition u(x, 0) = cos(πx). Time evolution was done by the Zabusky–Kruskal scheme. The initial cosine wave evolvesDaniel Gillespie (633 words) [view diff] exact match in snippet view article find links to article
(1976). "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions". Journal of Computational Physics. 22Causal fermion systems (5,050 words) [view diff] exact match in snippet view article find links to article
holomorphic approximation, the time evolution respects the complex structure, giving rise to a unitary time evolution on the bosonic Fock space. If HStochastic simulation (3,715 words) [view diff] exact match in snippet view article find links to article
(SSA) is essentially an exact procedure for numerically simulating the time evolution of a well-stirred chemically reacting system by taking proper accountWilliam H. Green (2,046 words) [view diff] exact match in snippet view article find links to article
largely focuses on using computers to accurately predict the products and time evolution of systems of reacting chemicals. He has been recognized for “developingH-theorem (4,255 words) [view diff] exact match in snippet view article find links to article
that reverses the motions of all the spins. The spins then undo the time evolution from before the pulse, and after some time the H actually increasesMagnetic helicity (3,100 words) [view diff] exact match in snippet view article find links to article
system, is repeated in the following: In ideal magnetohydrodynamics, the time evolution of a magnetic field and magnetic vector potential can be expressed usingStimulated Raman adiabatic passage (1,288 words) [view diff] exact match in snippet view article find links to article
Time evolution of state populations for counter-intuitive STIRAP pulse sequence demonstrating coherent transfer.RW Cephei (3,415 words) [view diff] case mismatch in snippet view article find links to article
Gardner, Tyler; Gutierrez, Mayra; Köhler, Rainer (September 2024). "Time Evolution Images of the Hypergiant RW Cephei during the Rebrightening Phase FollowingN-body simulation (4,083 words) [view diff] exact match in snippet view article find links to article
Dark matter plays an important role in the formation of galaxies. The time evolution of the density f (in phase space) of dark matter particles, can be describedScintillator (8,030 words) [view diff] exact match in snippet view article find links to article
should be used for high-temperature, high-vibration applications. The time evolution of the number of emitted scintillation photons N in a single scintillationLatitudinal gradients in species diversity (6,597 words) [view diff] case mismatch in snippet view article find links to article
Hypothesis Biodiversity Biomass (ecology) Biomes Effective evolutionary time Evolution Extinction Latitude Primary production Speciation Species richness TropicsIsing model (20,177 words) [view diff] exact match in snippet view article find links to article
t}} The product of the U matrices, one after the other, is the total time evolution operator, which is the path integral we started with. U N = ( e i HBorden Parker Bowne (1,483 words) [view diff] no match in snippet view article find links to article
13 (1). ISSN 0889-065X. JSTOR i20708736. ——— (1998). "Bowne on Time, Evolution and History". Journal of Speculative Philosophy. 12 (3): 181–203. ISSN 1527-9383Matrix exponential (10,481 words) [view diff] exact match in snippet view article find links to article
above is basis of the Suzuki-Trotter expansion, often used in numerical time evolution. In the other direction, if X and Y are sufficiently small (but notLogistic map (18,832 words) [view diff] exact match in snippet view article find links to article
version of the logistic differential equation, which can be compared to a time evolution equation of the system. Given an appropriate value for the parameterIberulite (1,654 words) [view diff] exact match in snippet view article find links to article
Fig. 7 Time evolution of the particulate matter / Time evolution of the relative humidity (RH) and temperature.Geometric phase (4,016 words) [view diff] exact match in snippet view article find links to article
phase factor. The phase obtained has a contribution from the state's time evolution and another from the variation of the eigenstate with the changing HamiltonianGalves–Löcherbach model (3,029 words) [view diff] case mismatch in snippet view article find links to article
Stochastic System with Infinite Interacting Components to Model the Time Evolution of the Membrane Potentials of a Population of Neurons". Journal of StatisticalReynolds stress (2,250 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mu {\frac {\partial {\overline {u_{i}}}}{\partial x_{j}}}} . The time evolution equation of Reynolds stress was first given by Eq.(1.6) in Zhou Peiyuan'sFenghao (431 words) [view diff] exact match in snippet view article find links to article
relationship between Xi'an City and its mausoleums from the perspective of time evolution". Frontiers in Ecology and Evolution. 11. doi:10.3389/fevo.2023.1158563HHL algorithm (4,990 words) [view diff] exact match in snippet view article find links to article
equations. Berry provides an efficient algorithm for solving the full-time evolution under sparse linear differential equations on a quantum computer. TwoPerturbation theory (quantum mechanics) (15,991 words) [view diff] exact match in snippet view article
the Dyson series, obtained by applying the iterative method to the time evolution operator, which is one of the starting points for the method of FeynmanGyrokinetic ElectroMagnetic (410 words) [view diff] exact match in snippet view article find links to article
the three-dimensional position, the energy and magnetic moment. The time evolution of the distribution function is described by gyrokinetic theory whichGuderley–Landau–Stanyukovich problem (2,399 words) [view diff] exact match in snippet view article find links to article
Guderley–Landau–Stanyukovich problem describes the time evolution of converging shock waves. The problem was discussed by G. Guderley in 1942 and independentlyPrice equation (3,992 words) [view diff] no match in snippet view article find links to article
fitness of the group. We want to derive an equation describing the time-evolution of the expected value of the trait: E ( x ) = ∑ i p i x i ≡ μ , p iBehavioral modeling (1,113 words) [view diff] exact match in snippet view article find links to article
{W} } is the "signal space" – the set in which the variables whose time evolution is modeled take on their values, and B ⊆ W T {\displaystyle {\mathcalEarth system governance (6,151 words) [view diff] exact match in snippet view article find links to article
subsystems fluxes and processes, the resulting spatial organization and time evolution of these systems, and their variability, stability and instability.Evolution of insects (12,169 words) [view diff] no match in snippet view article find links to article
structure. These strategies obviously became very successful with time. Evolution of arthropods Evolution of butterflies Evolution of spiders "LandmarkDensity matrix renormalization group (3,481 words) [view diff] exact match in snippet view article find links to article
time-evolving block decimation method was developed to implement real-time evolution of matrix product states. The idea is based on the classical simulationModified Newtonian dynamics (11,130 words) [view diff] exact match in snippet view article find links to article
to satisfy conservation laws and provide a unique solution for the time evolution of any physical system. Each of the theories described here reduce toHamiltonian field theory (1,842 words) [view diff] exact match in snippet view article find links to article
vanishing fields on the surface, the following result holds for the time evolution of A (similarly for B): d A d t = { A , H } + ∂ A ∂ t {\displaystyleForce concentration (2,697 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\frac {d^{2}}{dt^{2}}}N_{2}=c_{2}c_{1}N_{2}} To determine the time evolution of N 1 {\displaystyle N_{1}} and N 2 {\displaystyle N_{2}} , these equationsSubshift of finite type (2,396 words) [view diff] no match in snippet view article find links to article
the left shift operator on such sequences; it plays the role of the time-evolution operator of the dynamical system. A subshift of finite type is thenKapitsa–Dirac effect (1,759 words) [view diff] no match in snippet view article find links to article
initial state | ψ 0 ⟩ {\displaystyle \left|\psi _{0}\right\rangle } , the time-evolution within the Raman-Nath regime is then given by | ψ ⟩ = | ψ 0 ⟩ e − iDeep biosphere (9,557 words) [view diff] exact match in snippet view article find links to article
Drake, H., Reiners, P.W. Thermochronologic perspectives on the deep-time evolution of the deep biosphere. Proceedings of the National Academy of SciencesBoson sampling (7,102 words) [view diff] exact match in snippet view article find links to article
boson sampling with M particles in N modes is equivalent to the short-time evolution with M excitations in the XY model of 2N spins. One necessitates severalGeographic coordinate conversion (5,207 words) [view diff] exact match in snippet view article find links to article
dependence for each parameter,: 131-133 can be used to capture the time evolution of geographic coordinates dues to geomorphic processes, such as continentalCoherent state (7,370 words) [view diff] exact match in snippet view article find links to article
Further, in contrast to the energy eigenstates of the system, the time evolution of a coherent state is concentrated along the classical trajectoriesStopping power (particle radiation) (4,051 words) [view diff] exact match in snippet view article
collisions is provided by molecular dynamics (MD) simulations, in which the time evolution of a system of atoms is calculated by solving the equations of motionPragmatic theory of truth (5,273 words) [view diff] exact match in snippet view article find links to article
relation to the other, and both together as they participate in the time evolution of inquiry. Inquiry is not a disembodied process, nor the occupationQuantum Markov semigroup (1,633 words) [view diff] exact match in snippet view article find links to article
environment are "synthesized" as a few quantum noises. Mathematically, time evolution in a Markovian open quantum system is no longer described by means ofLangevin equation (5,246 words) [view diff] exact match in snippet view article find links to article
obtained using the Euler–Maruyama method. The left panel shows the time evolution of the phase portrait at different temperatures. The right panel capturesMaxwell–Bloch equations (1,775 words) [view diff] exact match in snippet view article find links to article
order correlations are necessary. The differential equation for the time evolution of ⟨ a † σ ⟩ {\displaystyle \langle a^{\dagger }\sigma \rangle } willMartin Quack (1,075 words) [view diff] exact match in snippet view article find links to article
molecular physics, using the fundamentally new kinetic process of the time evolution of parity in isolated molecules.) He is an editor (with Frédéric Merkt)Probability current (3,444 words) [view diff] exact match in snippet view article find links to article
is conserved. This result is in agreement with the unitary nature of time evolution operators which preserve length of the vector by definition. The probabilityForward problem of electrocardiology (5,006 words) [view diff] exact match in snippet view article find links to article
semi-implicit numerical schemes involving finite differences for the solution's time evolution. However, the computational costs of such techniques, especially withBrachistochrone curve (6,090 words) [view diff] exact match in snippet view article find links to article
the brachistochrone problem, the motion of the body is given by the time evolution of the parameter: φ ( t ) = ω t , ω = g r {\displaystyle \varphi (t)=\omegaCat state (4,717 words) [view diff] exact match in snippet view article find links to article
Time evolution of the probability distribution with quantum phase (color) of a cat state with α = 3. The two coherent portions interfere in the centerLieb–Robinson bounds (4,663 words) [view diff] exact match in snippet view article find links to article
{\displaystyle t} has a physical meaning of time. (Technically speaking, this time evolution is defined by a power-series expansion that is known to be a norm-convergentGérard Ben Arous (872 words) [view diff] exact match in snippet view article find links to article
media), or industrial applications. He is mainly interested in the time evolution of complex systems, and the universal aspects of their long time behaviorFree carrier absorption (842 words) [view diff] exact match in snippet view article find links to article
_{\lambda }{f_{\lambda ,k}}} Using the above distribution function, the time evolution of the density matrix can be ignored, which greatly simplifies the analysisGlossary of physics (12,857 words) [view diff] exact match in snippet view article find links to article
μm. Schrödinger equation A mathematical equation which describes the time evolution of wave functions in quantum mechanics. simple harmonic motion simpleDamage mechanics (2,209 words) [view diff] exact match in snippet view article find links to article
points within a structure. State equations are defined which govern the time evolution of damage. These equations may be readily integrated into finite elementStochastic programming (6,069 words) [view diff] exact match in snippet view article find links to article
For example, one can construct a particular scenario tree defining time evolution of the process. If at every stage the random return of each asset isEntropy (order and disorder) (3,060 words) [view diff] case mismatch in snippet view article
Dordrecht, pp. 1–27, page 24. Grandy, Walter T. Jr. (2008). Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press. pp. 55–58. ISBN 978-0-19-954617-6Open ocean convection (3,705 words) [view diff] exact match in snippet view article find links to article
and the baroclinic instability effects are becoming important, the time evolution of the chimney cannot be described only by the buoyancy forcing. TheMicromagnetics (3,484 words) [view diff] exact match in snippet view article find links to article
magnetostriction. The purpose of dynamic micromagnetics is to predict the time evolution of the magnetic configuration.: 181–182 This is especially importantKubo formula (1,072 words) [view diff] exact match in snippet view article find links to article
these eigenvalues may change with time. However, one can again find the time evolution of the density matrix ρ ^ ( t ) {\displaystyle {\hat {\rho }}(t)} rspKnudsen paradox (239 words) [view diff] no match in snippet view article find links to article
again will show infinite flux. Vlasov equation – Description of the time-evolution of plasma Fokker–Planck equation – Partial differential equation describingQuantum potential (7,183 words) [view diff] exact match in snippet view article find links to article
motion and a rotational part. The two dynamical equations governing the time evolution are re-interpreted as conservation equations. One of them stands forElectron-cloud effect (926 words) [view diff] exact match in snippet view article find links to article
studies is the tune shifts can be measured bunch by bunch and so the time evolution of the cloud can be measured. The vacuum chamber in an accelerator canPath integral molecular dynamics (1,178 words) [view diff] exact match in snippet view article find links to article
"A derivation of centroid molecular dynamics and other approximate time evolution methods for path integral centroid variables". The Journal of ChemicalMitch Clarke (1,117 words) [view diff] no match in snippet view article find links to article
Clarke told reporters his favourite Super NES video game is Turtles in Time. Evolution Fighting Championships EFC Lightweight Championship (1 time) The FightDynamic speckle (1,105 words) [view diff] exact match in snippet view article find links to article
Rev. Cub. Fis. 25(2A) (2008) pp. 67-69 Arizaga, R (1999). "Speckle time evolution characterization by the co-occurrence matrix analysis". Optics & LaserRandom cluster model (1,980 words) [view diff] no match in snippet view article find links to article
became the inspiration for the Swendsen–Wang algorithm describing the time-evolution of Potts models. Michael Aizenman and coauthors used it to study theCaroline A. E. Strömberg (1,836 words) [view diff] exact match in snippet view article find links to article
Swedish-American paleontologist whose primary research focuses on the deep time evolution and ecology of plants through the use of the fossil record and by comparisonSwift heavy ion (1,245 words) [view diff] exact match in snippet view article find links to article
Time evolution of a Molecular Dynamics simulation of a swift heavy ion track in crystalline quartz, producing a cylindrical amorphous track in the materialJaynes–Cummings model (9,356 words) [view diff] exact match in snippet view article find links to article
conjugates. By the unitary evolution operator one can calculate the time evolution of the state of the system described by its density matrix ρ ^ ( t )History of creationism (10,654 words) [view diff] exact match in snippet view article find links to article
Aguillard, that requiring the teaching of "creation science" every time evolution was taught illegally advanced a particular religion, although a varietyIntrinsic Noise Analyzer (334 words) [view diff] exact match in snippet view article find links to article
(1976). "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions". Journal of Computational Physics. 22Antiresonance (1,830 words) [view diff] exact match in snippet view article find links to article
Animation showing time evolution to the antiresonant steady-state of two coupled pendula. The red arrow represents a driving force acting on the left pendulumPurity (quantum mechanics) (2,210 words) [view diff] exact match in snippet view article
where U is a unitary matrix. Specifically, it is conserved under the time evolution operator U ( t , t 0 ) = e − i ℏ H ( t − t 0 ) {\displaystyle U(t,t_{0})=e^{{\fracCharge density wave (2,955 words) [view diff] no match in snippet view article find links to article
Feynman in The Feynman Lectures on Physics, Vol. III, Ch. 21, their time-evolution is described using the Schrödinger equation as an emergent classicalEigenstate thermalization hypothesis (5,544 words) [view diff] exact match in snippet view article find links to article
even ones that are analogous to chaotic classical systems, because time evolution of a quantum system does not uniformly sample all vectors in HilbertMaptek (634 words) [view diff] no match in snippet view article find links to article
laser scan data with other software to track and analyse movement over time. Evolution is a scheduling technology. It was released in 2015.[citation needed]Dissipative operator (1,534 words) [view diff] exact match in snippet view article find links to article
time derivative of a point x in the space is given by Ax, then the time evolution is governed by a contraction semigroup that constantly decreases theList of stars with resolved images (2,010 words) [view diff] case mismatch in snippet view article find links to article
Gardner, Tyler; Gutierrez, Mayra; Köhler, Rainer (September 2024). "Time Evolution Images of the Hypergiant RW Cephei during the Rebrightening Phase FollowingHans Ziegler (physicist) (198 words) [view diff] case mismatch in snippet view article
Physics Reports, 426: 1-45. Grandy, W.T., Jr (2008). Entropy and the Time Evolution of Macroscopic Systems, Oxford University Press, Oxford, ISBN 978-0-19-954617-6Tunnel ionization (3,863 words) [view diff] exact match in snippet view article find links to article
necessary. The dynamics of the MPI can be described by finding the time evolution of the state of the atom which is described by the Schrödinger equationUltra-high-temperature metamorphism (2,115 words) [view diff] exact match in snippet view article find links to article
granulites from Enderby Land, Antarctica: Metamorphic pressure-temperature-time evolution of the Archaean Napier Complex: Journal of Petrology, v. 26, p. 819-856Extended irreversible thermodynamics (622 words) [view diff] exact match in snippet view article find links to article
equations of Fourier, Fick, Newton and Ohm are replaced by first-order time evolution equations including memory and non-local effects. The selection of theSpherical pendulum (1,775 words) [view diff] exact match in snippet view article find links to article
2ml^{2}\sin ^{2}\theta }-mgl\cos \theta } Hamilton's equations will give time evolution of coordinates and momenta in four first-order differential equationsSyndemic (14,544 words) [view diff] exact match in snippet view article find links to article
The PopMod has several intended purposes, including describing the time evolution of population health for standard demographic purposes (such as estimatingYves Pomeau (2,127 words) [view diff] exact match in snippet view article find links to article
Math. Phys. 74 (2): 189–197 Hardy, J., Pomeau, Y., and De Pazzis, O. «Time evolution of a two-dimensional classical lattice system.» Physical Review LettersEady model (656 words) [view diff] exact match in snippet view article find links to article
linearizing yields the linearized differential equations governing the time evolution of the state of the atmosphere in the Eady model: ψ ¯ = − Λ z y {\displaystyleMaria Fidecaro (900 words) [view diff] exact match in snippet view article find links to article
kaons, new and detailed information was found on CPT invariance in time evolution and decay. The newly achieved level of precision of the experimentsTessaleno Devezas (2,031 words) [view diff] exact match in snippet view article find links to article
120675, (with A. Akaev, Y. Ichkitidze, A. Sarygulov) On the global time evolution of the Covid-19 pandemic: Logistic modelling, Technological ForecastingFirst-class constraint (4,561 words) [view diff] exact match in snippet view article find links to article
Hamiltonians, respectively, which agree on the constrained subspace, then the time evolution of both points under their respective Hamiltonian flows will alwaysSplit-step method (1,636 words) [view diff] exact match in snippet view article find links to article
space. The non-linear Schrödinger equation, when used to govern the time evolution of a wave function, takes the form i ℏ ∂ ψ ∂ t = − ℏ 2 2 m ∂ 2 ψ ∂ xGlossary of aerospace engineering (24,147 words) [view diff] exact match in snippet view article find links to article
, t 2 ] → M {\displaystyle x_{0}:[t_{1},t_{2}]\to M} describes the time evolution of the given system if and only if x 0 {\displaystyle x_{0}} is a stationaryEddy diffusion (7,956 words) [view diff] exact match in snippet view article find links to article
of what the initial profile might be. To be able to calculate this time evolution, one needs to know how to calculate the flux. This section exploresSynthesis of carbon nanotubes (5,797 words) [view diff] no match in snippet view article find links to article
Water-Assisted Single-Walled Carbon Nanotube Synthesis Revealed by a Time-Evolution Analysis". Phys. Rev. Lett. 95 (5): 056104. Bibcode:2005PhRvL..95e6104FImpact events on Jupiter (7,107 words) [view diff] exact match in snippet view article find links to article
the ripples of Jupiter's rings to the impact of SL9 by analyzing the time evolution recorded by the instruments on board the Galileo, Cassini, and New HorizonsJinju Formation (3,619 words) [view diff] exact match in snippet view article find links to article
295−308. doi:10.5467/JKESS.2016.37.5.295. Lee, Jaemin (2025). "Deep time evolution of tubers in Equisetum and the broader sphenophytes". InternationalTDGL (322 words) [view diff] exact match in snippet view article find links to article
equations can be very useful in making qualitative predictions about the time evolution of superconductors, particularly in the mixed state where AbrikosovMineral evolution (5,027 words) [view diff] exact match in snippet view article find links to article
"Structural and chemical complexity of minerals: correlations and time evolution". European Journal of Mineralogy. 30 (2): 231–236. doi:10.1127/ejm/2018/0030-2694Thermal history of Earth (1,789 words) [view diff] exact match in snippet view article find links to article
formulation of the thermal history of Earth's interior involves the time evolution of the mid-mantle and mid-core temperatures. To derive these equationsFrank Verstraete (1,055 words) [view diff] exact match in snippet view article find links to article
C; Oseledets, I; Vandereycken, B; Verstraete, F (2016). "Unifying time evolution and optimization with matrix product states" (PDF). Phys. Rev. B. 94Hamiltonian (control theory) (3,975 words) [view diff] exact match in snippet view article
following differential equation for capital intensity, describing the time evolution of capital per effective worker: k ˙ = ∂ k ∂ t = f ( k ( t ) ) − ( nCritical positivity ratio (3,537 words) [view diff] exact match in snippet view article find links to article
of justification for the use of the Lorenz equations in modeling the time evolution of human emotions", but confronting the "no clear mathematical errors"Rare event sampling (1,206 words) [view diff] exact match in snippet view article find links to article
will be time-dependence in the rare event flux. In order to follow the time evolution of the probability of a rare event, it is necessary to maintain a steadyCMA-ES (7,545 words) [view diff] exact match in snippet view article find links to article
points instead of successful search steps. Second, two paths of the time evolution of the distribution mean of the strategy are recorded, called searchJerry Moffatt (3,708 words) [view diff] case mismatch in snippet view article find links to article
Lions Head Canada (8B) First ascent, Canada's hardest route at the time Evolution (8c+) Raven Tor 1995 First ascent. Progress (8c+) Kilnsey U.K 1995 FirstInfologs (1,203 words) [view diff] case mismatch in snippet view article find links to article
Nasvall, J.; Sun, L.; Roth, J. R.; Andersson, D. I. (2012). "Real-Time Evolution of New Genes by Innovation, Amplification, and Divergence". ScienceEntropy of mixing (4,773 words) [view diff] case mismatch in snippet view article find links to article
ISBN 0-19-851142-6, page 74. Grandy, W.T., Jr (2008). Entropy and the Time Evolution of Macroscopic Systems, Oxford University Press, Oxford, ISBN 978-0-19-954617-6Fly algorithm (3,630 words) [view diff] exact match in snippet view article find links to article
Boumaza, Amine; Louchet, Jean (Apr 2001). "Dynamic Flies: Using Real-time evolution in Robotics". Lecture Notes on Computer Science. Artificial EvolutionCerro Bonete (Lipez) (325 words) [view diff] exact match in snippet view article
(5): 907–942. doi:10.1093/petrology/43.5.907. Bailly, Laurent. "Space-time evolution of the hydrothermal activity in a volcanic dome : the Cerro Bonete epithermalHPP model (1,060 words) [view diff] case mismatch in snippet view article find links to article
Gershenfeld, pp. 103 Hardy, J.; Pomeau, Y.; de Pazzis, O. (1973-07-30). "Time Evolution of a Two-Dimensional Classical Lattice System". Physical Review LettersBKL singularity (20,986 words) [view diff] exact match in snippet view article find links to article
of general relativity effectively become local and oscillatory. The time evolution of fields at each spatial point is well approximated by the homogeneousMultiferroics (8,501 words) [view diff] exact match in snippet view article find links to article
dynamics in multiferroic systems is concerned with understanding the time evolution of the coupling between various ferroic orders, in particular underSchrödinger field (4,322 words) [view diff] exact match in snippet view article find links to article
many body Schrödinger equation for identical particles describes the time evolution of the many-body wavefunction ψ(x1, x2...xN) which is the probabilityThree-wave equation (1,547 words) [view diff] exact match in snippet view article find links to article
S2CID 18846092. Kaup, D. J.; Reiman, A.; Bers, A. (1979). "Space-time evolution of nonlinear three-wave interactions. I. Interaction in a homogeneousRobert Gilbert (chemist) (2,244 words) [view diff] exact match in snippet view article
processes. He produced targeted data using these methods, particularly the time evolution of reaction rates and molecular-weight and particle-size distributionsMax Dresden (877 words) [view diff] exact match in snippet view article find links to article
Chapter 8. Non-equilibrium statistical mechanics or the vagaries of time evolution by Max Dresden, pages 585–633 in Laurie Brown, Abraham Pais, Brian PippardLogarithmic norm (2,507 words) [view diff] exact match in snippet view article find links to article
logarithmic norm is that it discriminates between forward and reverse time evolution and can establish whether the problem is well posed. Similar resultsMajorana equation (8,807 words) [view diff] exact match in snippet view article find links to article
explicit construction and articulation. The Weyl equation describes the time evolution of a massless complex-valued two-component spinor. It is conventionallySpray (mathematics) (2,329 words) [view diff] exact match in snippet view article
law is obtained from the Hamiltonian principle, which states that the time evolution γ:[a,b]→M of the state of the system is stationary for the action integralF-divergence (3,992 words) [view diff] exact match in snippet view article find links to article
Kolmogorov forward equations (or Master equation), used to describe the time evolution of the probability distribution in the Markov process. This means thatGell-Mann and Low theorem (1,587 words) [view diff] no match in snippet view article find links to article
{\displaystyle g=e^{\epsilon \theta }} . From Schrödinger's equation for the time-evolution operator i ℏ ∂ t 1 U ϵ ( t 1 , t 2 ) = H ϵ ( t 1 ) U ϵ ( t 1 , t 2 )Jose Luis Mateos (608 words) [view diff] case mismatch in snippet view article find links to article
García-Calderón, J. L. Mateos y M. Moshinsky. Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities. In Physical Review LettersDaniel Pomarède (2,180 words) [view diff] exact match in snippet view article find links to article
from the Cosmicflows survey and various distance indicators, with a time evolution running from the past 13.25 billion years to present. ‘The Cosmic V-Web"Glass poling (894 words) [view diff] no match in snippet view article find links to article
Kudlinski, A.; et al. (2005). "Modeling of the χ (2) susceptibility time-evolution in thermally poled fused silica". Optics Express. 13 (20): 8015–8024Daniel Rudolph (1,558 words) [view diff] exact match in snippet view article find links to article
semigroup of self-maps of that space that play the role of describing time evolution of the phase space." From August 1975 to August 1976, Rudolph was aDrosophila connectome (3,933 words) [view diff] exact match in snippet view article find links to article
and hormones (with sources and receptors), the role of glial cells, time evolution rules for synapses, and more. However some pathways have been simulatedTimeline of computational physics (1,499 words) [view diff] exact match in snippet view article find links to article
Parma, September 2002. J. Hardy, Y. Pomeau, and O. de Pazzis (1973). "Time evolution of two-dimensional model system I: invariant states and time correlationMany-body localization (3,096 words) [view diff] exact match in snippet view article find links to article
Schrödinger equation? Does the system still thermalize? Quantum mechanical time evolution is unitary and formally preserves all information about the initialRamsey interferometry (3,447 words) [view diff] exact match in snippet view article find links to article
}}\times {\hat {\mathbf {p} }}\right).} This Hamiltonian leads to a time evolution operator to first order in Ω {\displaystyle \Omega } : U ^ R = exp Galician Wikipedia (1,744 words) [view diff] no match in snippet view article find links to article
The Galician Wikipedia (Galician: Wikipedia en lingua galega), also popularly known as Galipedia (Galician: Galipedia), is the Galician-language editionRival Peak (1,201 words) [view diff] exact match in snippet view article find links to article
game Rival Peak” Gamasutra Cataldi, Chris (5 March 2021) “The real-time evolution of Rival Peak” Gamasutra Orquioloa, John (24 March 2021) “Wil WheatonRunge–Gross theorem (2,153 words) [view diff] exact match in snippet view article find links to article
throughout the argument. From the Heisenberg equation of motion, the time evolution of the current density, j(r,t), under the external potential v(r,t)Gulf of California moisture surge (1,674 words) [view diff] exact match in snippet view article find links to article
amount of water vapor in a column of the atmosphere. By looking at time evolution of precipitable water contours, scientists are able to track the progressionPeter Coveney (2,771 words) [view diff] exact match in snippet view article find links to article
Evans, Allan K.; Coveney, Peter V. (1995). "On exponential long-time evolution in statistical mechanics". Proc. R. Soc. Lond. A. 448 (1933): 293–319Method of quantum characteristics (3,908 words) [view diff] exact match in snippet view article find links to article
1016/0375-9601(91)90352-9. Wong, C. Y. (2003). "Explicit solution of the time evolution of the Wigner function". Journal of Optics B: Quantum and SemiclassicalRaymond M. Alf Museum of Paleontology (2,096 words) [view diff] no match in snippet view article find links to article
curriculum, every Webb student learns the basics of the geological time, evolution, and other processes that shape our planet. In advanced paleontologyStock-flow consistent model (2,818 words) [view diff] exact match in snippet view article find links to article
Time evolution of the variables towards a stationary state. In this fixed point, the tax income T {\displaystyle T} equals government expenditure G {\displaystyleCho Minhaeng (3,133 words) [view diff] no match in snippet view article find links to article
provide critical information on molecular optical activity and its time-evolution. Later, Cho showed that a heterodyne-detection method with precise controlsWonderland model (1,469 words) [view diff] exact match in snippet view article find links to article
{\begin{aligned}y^{\prime }=y-\phi (1-z)^{\mu }y\end{aligned}}} The time evolution of y ( t ) {\displaystyle y(t)} is unaffected because those goods andGeostationary Earth Radiation Budget (1,905 words) [view diff] exact match in snippet view article find links to article
doi:10.1175/2010JTECHA1521.1. Parfitt; et al. (2016). "A study of the time evolution of GERB shortwave calibration by comparison with CERES Edition-3A data"Basil Hiley (11,814 words) [view diff] exact match in snippet view article find links to article
notation each stand for an element of the algebra and that the Heisenberg time evolution is an inner automorphism in the algebra. In 2001, Hiley proposed toMagnetic resonance (quantum mechanics) (3,284 words) [view diff] exact match in snippet view article
\langle \mathbf {m} \rangle =\gamma \langle \mathbf {S} \rangle } . The time evolution of ⟨ m ⟩ {\displaystyle \langle \mathbf {m} \rangle } is given by iQuantum random circuits (1,509 words) [view diff] exact match in snippet view article find links to article
quantum circuits would be qubits, unitary gates, and measurements. The time evolution of the quantum circuits is discrete in time t ∈ Z {\displaystyle t\inTime-domain holography (1,243 words) [view diff] exact match in snippet view article find links to article
the Maxwell's equation. For obtaining a general solution, the space-time evolution of an arbitrary waveform should be described, which is a hard task.Lawrence Schulman (2,031 words) [view diff] exact match in snippet view article find links to article
oxymoron and in the 1980s Schulman conceived of a way to retain unitary time evolution while at the same time having a single "world" (in the sense of theSolvent model (4,370 words) [view diff] exact match in snippet view article find links to article
clusters. Molecular dynamics simulations allow scientists to study the time evolution of a chemical system in discrete time intervals. These simulations oftenCancer selection (1,578 words) [view diff] no match in snippet view article find links to article
animals have been paired as competitors in co-evolution throughout time. Evolution, which is driven by natural selection, is the cornerstone for nearlyNPZ model (815 words) [view diff] exact match in snippet view article find links to article
It is a system of ordinary differential equations that examines the time evolution of dissolved and assimilated nutrients in an ideal upper water columnR. Edwin Garcia (530 words) [view diff] exact match in snippet view article find links to article
microstructure. Thus, understanding the effect of microstructure on the time evolution, response, and reliability of material properties is important. GarciaThree-dimensional X-ray diffraction (1,266 words) [view diff] exact match in snippet view article find links to article
method-based reconstruction. With 3DXRD, it is possible to study in situ the time evolution of materials under different conditions. Among others, the techniqueCreation and evolution in public education in the United States (7,543 words) [view diff] exact match in snippet view article find links to article
statute, which required creation to be taught alongside evolution every time evolution was taught, was unconstitutional. The Court laid out its rule in EdwardsCarla Faria (624 words) [view diff] exact match in snippet view article find links to article
1103/PhysRevA.66.043413. C. Figueira de Morisson Faria, Andreas Fring. 2006. Time evolution of non-Hermitian Hamiltonian systems. J. Phys. A: Math. Gen. 39 9269Exact diagonalization (1,281 words) [view diff] exact match in snippet view article find links to article
_{n})t/\hbar }.} Exact diagonalization can also be used to determine the time evolution of a system after a quench. Suppose the system has been prepared inEuglenophycin (2,621 words) [view diff] no match in snippet view article find links to article
Martin; Henrissat, Bernard; Field, Robert A. (2015-12-01). "Euglena in time: Evolution, control of central metabolic processes and multi-domain proteins inMultiple equilibria in the Atlantic meridional overturning circulation (3,102 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \Delta T^{a}=T_{2}^{a}-T_{1}^{a}} . It follows that the time evolution of the flow strength is given by: d ψ d t = − 2 | ψ | ψ + 2 k α Δ TScallop theorem (3,274 words) [view diff] exact match in snippet view article find links to article
the swimmer. Another exploitable property is stress relaxation. Such time evolution of such stresses contain a memory term, though the extent in which thisNadia Fröbisch (1,203 words) [view diff] exact match in snippet view article find links to article
Bickelmann, Constanze; Olori, Jennifer C.; Witzmann, Florian (2015). "Deep-time evolution of regeneration and preaxial polarity in tetrapod limb development"Frank-Kamenetskii theory (3,944 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \delta =\delta _{c}(1+\epsilon )} . For this case, the time evolution of θ {\displaystyle \theta } is as follows: first it increases to steady-stateDecoherence-free subspaces (4,226 words) [view diff] exact match in snippet view article find links to article
correcting code with codewords that are invariant under a particular unitary time evolution in spontaneous emission. Shortly afterwards, L-M Duan and G-C Guo alsoLocalization-protected quantum order (3,281 words) [view diff] no match in snippet view article find links to article
quantum orders in the eigenstates of the Floquet unitary, which is the time-evolution operator for one period. The most striking example of this is the time-crystalQuantum speed limit (3,111 words) [view diff] exact match in snippet view article find links to article
into a state orthogonal to | ψ ⟩ {\displaystyle |\psi \rangle } . The time evolution of a pure state is given by the Schrödinger equation: | ψ t ⟩ = ∑ nTwo-dimensional electronic spectroscopy (2,401 words) [view diff] exact match in snippet view article find links to article
ν 1 , t 2 , ν 3 ) {\displaystyle S(\nu _{1},t_{2},\nu _{3})} . The time evolution of the system can be measured by repeating the procedure described beforeLight-front quantization applications (9,006 words) [view diff] exact match in snippet view article find links to article
A. Ilderton; P. Maris; J. P. Vary (2013). "Non-perturbative quantum time evolution on the light-front". Physics Letters B. 726 (4–5): 856–860. arXiv:1309Diffusion model (14,257 words) [view diff] no match in snippet view article find links to article
\nabla _{x_{t}}\ln q(x_{t})} at that point, then we cannot impose the time-evolution equation on a particle: d x t = ∇ x t ln q ( x t ) d t + d W t {\displaystyleNuclear ensemble approach (1,566 words) [view diff] exact match in snippet view article find links to article
approach, employing a Monte Carlo integration of the wavepacket overlap time evolution. Consider an ensemble of molecules absorbing radiation in the UV/visFrancesca Iacopi (2,287 words) [view diff] exact match in snippet view article find links to article
Cover) F.Zarotti, B.Gupta, F.Iacopi, A.Sgarlata, M.Tomellini, N.Motta, “Time evolution of graphene growth on SiC as a function of annealing temperature”, CarbonCarlos Stroud (1,754 words) [view diff] exact match in snippet view article find links to article
alternatively show classical and quantum features during a complex time evolution. A single electron could be made to interfere with itself to exhibitMioara Mandea (1,184 words) [view diff] exact match in snippet view article find links to article
Mandea, Mioara; Le Mouël, Jean-Louis; Pais, Alexandra (2000-03-01). "Time evolution of the fluid flow at the top of the core. Geomagnetic jerks". EarthTransverse-field Ising model (1,713 words) [view diff] exact match in snippet view article find links to article
number of fermions is even or odd, and this parity does not change under time evolution of the system. The Hamiltonian is mathematically identical to that ofPhase-space wavefunctions (2,161 words) [view diff] exact match in snippet view article find links to article
^{\dagger })\star H-H\star (\psi \star \psi ^{\dagger })],} which is the time evolution of Wigner function, for this reason ψ {\displaystyle \psi } is sometimesWA93 experiment (462 words) [view diff] exact match in snippet view article find links to article
1016/0375-9474(95)00264-2. ISSN 0375-9474. Slegt, Sander (1995). Space-time evolution in relavistic heavy-ion collissions. s.n. "INSPIRE". inspirehep.netNeural tangent kernel (5,146 words) [view diff] no match in snippet view article find links to article
can be understood as a type of Hamiltonian, since it generates the time-evolution of observables when the neural network is trained by gradient descentList of music sequencers (2,267 words) [view diff] exact match in snippet view article find links to article
octaves) generated by five glass discs. Composers could control the time evolution of amplitudes of each microtone via scratches on a glass plate userCaravelli-Traversa-Di Ventra equation (1,978 words) [view diff] exact match in snippet view article find links to article
_{i\rightarrow n}I_{i}=0\ \ \ \ \ (2)} where the first equation represents the time evolution of the memristive element's internal memory either in current or voltageWHO-CHOICE (2,564 words) [view diff] exact match in snippet view article find links to article
to researchers interested in using WHO-CHOICE: PopMod simulates the time evolution of an arbitrary population subject to births, deaths, and two distinctDroplet vaporization (3,164 words) [view diff] exact match in snippet view article find links to article
of the droplet temperature are presented in the next section). The time evolution of the droplet radius, r d {\displaystyle r_{d}} , and droplet temperatureKovacs effect (1,878 words) [view diff] exact match in snippet view article find links to article
with two jumps in the temperature has been employed. The associated time evolution of a relevant physical quantity P {\displaystyle P} , often the energyRegularity theory (788 words) [view diff] exact match in snippet view article find links to article
holds if m is infinity. Parabolic and hyperbolic PDEs describe the time evolution of a quantity u governed by an elliptic operator L and an external forceFradkin tensor (967 words) [view diff] exact match in snippet view article find links to article
\varepsilon } is the Levi-Civita symbol. In Hamiltonian mechanics, the time evolution of any function A {\displaystyle A} defined on phase space is givenRecharge oscillator (3,830 words) [view diff] exact match in snippet view article find links to article
coupled system, which describes the thermocline depth and the SST anomaly time evolution in the eastern side of the basin: d h W d t = − r h W − α b T E {\displaystyleLana Austin (1,345 words) [view diff] no match in snippet view article find links to article
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is the Vandermonde determinant, then the time-evolution of eigenspectrum is equivalent to the time-evolution of u {\displaystyle u} , which happens toMan Like DeReiss (1,407 words) [view diff] no match in snippet view article find links to article
Moloney British Wrestling Revolution BWR Underground Championship (1 time) Evolution Wrestling Evolution Middleweight Championship (2 times, current) FightGarnier integrable system (1,403 words) [view diff] exact match in snippet view article find links to article
{L}}(\lambda )\right],} so the Lax matrix satisfies the Lax equation when time evolution is given by any of the Hamiltonians H r {\displaystyle {\mathcal {H}}_{r}}Larry D. McLerran (2,040 words) [view diff] exact match in snippet view article find links to article
conditions for the matter formed in heavy ion collisions, and the early time evolution of such matter towards the formation of a Quark Gluon Plasma was theIntrinsic DNA fluorescence (5,649 words) [view diff] no match in snippet view article find links to article
DNA fluorescence is that, contrary to most fluorescent molecules, its time-evolution cannot be described by a constant decay rate (described by a mono-exponentialPKS 0438-436 (3,520 words) [view diff] exact match in snippet view article find links to article
(2008-09-01). "Extragalactic optical-infrared background radiation, its time evolution and the cosmic photon-photon opacity". Astronomy and Astrophysics. 487Polarization (cosmology) (3,091 words) [view diff] exact match in snippet view article
which help to understand the physics of the early universe and its late-time evolution. Unfortunately, galactic nuclei and dust emit very strongly in the wavelengthLocal linearization method (12,708 words) [view diff] exact match in snippet view article find links to article
equations have become an important mathematical tool for describing the time evolution of several phenomenon, e.g., rotation of the planets around the sun2024 in paleobotany (15,417 words) [view diff] exact match in snippet view article find links to article
"Palms of the past: can morphometric phytolith analysis inform deep time evolution and palaeoecology of Arecaceae?". Annals of Botany. 134 (2): 263–282