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Longer titles found: Quantum harmonic oscillator (view)

searching for Harmonic oscillator 124 found (511 total)

Aromatic ring current (1,047 words) [view diff] exact match in snippet view article find links to article

especially useful for polycyclic compounds. Yet another method called the harmonic oscillator model of aromaticity (HOMA) is defined as a normalized sum of squared

Coupling (physics) (1,110 words) [view diff] exact match in snippet view article

capacitor and the inductor and can therefore be modeled as a simple harmonic oscillator. When the magnetic flux from one inductor is able to affect the inductance

Bertrand's theorem (2,568 words) [view diff] exact match in snippet view article find links to article

f(r)=-{\frac {dV}{dr}}=-{\frac {k}{r^{2}}}.} The second is the radial harmonic oscillator potential: V ( r ) = 1 2 k r 2 {\displaystyle V(r)={\frac {1}{2}}kr^{2}}

Discrete symmetry (182 words) [view diff] exact match in snippet view article find links to article

in various elementary physical quantum systems, such as quantum harmonic oscillator, electron orbitals of Hydrogen-like atoms by forcing wavefunctions

Gaussian integral (4,351 words) [view diff] exact match in snippet view article find links to article

state of the harmonic oscillator. This integral is also used in the path integral formulation, to find the propagator of the harmonic oscillator, and in statistical

Hamiltonian (quantum mechanics) (5,042 words) [view diff] exact match in snippet view article

elementary "particle in a box" problem, and step potentials. For a simple harmonic oscillator in one dimension, the potential varies with position (but not time)

Nilsson model (1,439 words) [view diff] exact match in snippet view article find links to article

the Nilsson model. It is essentially a nuclear shell model using a harmonic oscillator potential, but with anisotropy added, so that the oscillator frequencies

Timothy Haskell (438 words) [view diff] exact match in snippet view article find links to article

Technology Medal Haskell, T. G. (1972). The group theory of the harmonic oscillator with applications in physics (PhD thesis). UC Research Repository

Tune shift with amplitude (471 words) [view diff] exact match in snippet view article find links to article

be thought of as the Poincaire section of the dynamics. A simple harmonic oscillator has a constant tune for all initial positions in phase space. Adding

Quasiprobability distribution (3,379 words) [view diff] exact match in snippet view article find links to article

}}|\langle 0|\alpha \rangle |^{2}~.} Consider the damped quantum harmonic oscillator with the following master equation, d ρ ^ d t = i ω 0 [ ρ ^ , a ^

Hugh David Politzer (745 words) [view diff] case mismatch in snippet view article find links to article

Politzer and the Rho Mesons, which put out their single, "The Simple Harmonic Oscillator". Politzer's Erdős-Bacon number is 5 – via appearing in Fat Man and

Young Suh Kim (1,354 words) [view diff] exact match in snippet view article find links to article

bound state. This wave function is known as the "Lorentz-covariant harmonic oscillator wave function" or "Covariant oscillator wave function." In 1977,

Classical limit (1,511 words) [view diff] exact match in snippet view article find links to article

The typical occupation numbers involved are huge: a macroscopic harmonic oscillator with ω = 2 Hz, m = 10 g, and maximum amplitude x0 = 10 cm, has S ≈ E/ω ≈

Quantization of the electromagnetic field (5,083 words) [view diff] exact match in snippet view article find links to article

quantum harmonic oscillator is a well-known topic in quantum mechanical courses. We digress and say a few words about it. The harmonic oscillator Hamiltonian

Adiabatic invariant (3,423 words) [view diff] exact match in snippet view article find links to article

Hamiltonian is slowly time-varying, for example, a one-dimensional harmonic oscillator with a changing frequency: H t ( p , x ) = p 2 2 m + m ω ( t ) 2

Wick Haxton (931 words) [view diff] exact match in snippet view article find links to article

formulation of an effective field theory for shell model using the harmonic oscillator basis as a regulator. He led the early efforts to convert the Homestake

Heisenberg picture (2,151 words) [view diff] exact match in snippet view article find links to article

on the Hamiltonian of the system. Considering the one-dimensional harmonic oscillator, H = p 2 2 m + m ω 2 x 2 2 , {\displaystyle H={\frac {p^{2}}{2m}}+{\frac

Linear system (2,059 words) [view diff] exact match in snippet view article find links to article

calculus, and a linear transformation in linear algebra. A simple harmonic oscillator obeys the differential equation: m d 2 ( x ) d t 2 = − k x . {\displaystyle

Nosé–Hoover thermostat (931 words) [view diff] exact match in snippet view article find links to article

single harmonic oscillator. In simple terms, it means that the algorithm fails to generate a canonical distribution for a single harmonic oscillator. This

Tautochrone curve (3,136 words) [view diff] exact match in snippet view article find links to article

Euler provided an analytical solution to the problem. For a simple harmonic oscillator released from rest, regardless of its initial displacement, the time

Misalignment mechanism (927 words) [view diff] exact match in snippet view article find links to article

{1}{2}}m^{2}\phi ^{2}} , of which then behaves cosmologically as a damped harmonic oscillator: ϕ ¨ + 3 H ϕ ˙ + m 2 ϕ = 0 {\displaystyle {\ddot {\phi }}+3H{\dot

Virial theorem (7,682 words) [view diff] no match in snippet view article find links to article

In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system of discrete

Symbol Systems (298 words) [view diff] case mismatch in snippet view article find links to article

and unsettle." All compositions by Matthew Shipp "Clocks" – 7:04 "Harmonic Oscillator" – 3:51 "Temperate Zone" – 1:56 "Symbol Systems" – 4:50 "The Highway"

Double-well potential (2,697 words) [view diff] exact match in snippet view article find links to article

third form of the quartic potential is that of a "perturbed simple harmonic oscillator" or ″pure anharmonic oscillator″ having a purely discrete energy

Dmitry Chelkak (594 words) [view diff] case mismatch in snippet view article find links to article

Chelkak, D.; Kargaev, P.; Korotyaev, E. (2004). "Inverse Problem for Harmonic Oscillator Perturbed by Potential, Characterization". Communications in Mathematical

Path integral formulation (14,277 words) [view diff] exact match in snippet view article find links to article

_{t}=-{\frac {\nabla ^{2}}{2}}\psi _{t}.} The Lagrangian for the simple harmonic oscillator is L = 1 2 m x ˙ 2 − 1 2 m ω 2 x 2 . {\displaystyle {\mathcal {L}}={\tfrac

Relativistic Lagrangian mechanics (5,566 words) [view diff] exact match in snippet view article find links to article

{x}}^{2}}{c^{2}}}\right)^{\frac {3}{2}}}}=0\,.} For a 1d relativistic simple harmonic oscillator, the Lagrangian is L = − m c 2 1 − x ˙ 2 ( t ) c 2 − k 2 x 2 . {\displaystyle

Quasi-commutative property (373 words) [view diff] exact match in snippet view article find links to article

of a particle. These matrices are written out at Matrix mechanics#Harmonic oscillator, and z = iħ times the infinite unit matrix, where ħ is the reduced

Hamiltonian constraint (3,745 words) [view diff] exact match in snippet view article find links to article

determined by this relationship. The action for the parametrized Harmonic oscillator is then S = ∫ d τ [ d x d τ p + d t d τ p t − λ ( p t + p 2 2 m +

Al-Salam–Carlitz polynomials (376 words) [view diff] exact match in snippet view article find links to article

943-945. Askey, R., & Suslov, S. K. (1993). The q {\displaystyle q} -harmonic oscillator and the Al-Salam and Carlitz polynomials. Letters in Mathematical

Analysis of flows (383 words) [view diff] exact match in snippet view article find links to article

boundary conditions[why?]. However, now take the case of a simple harmonic oscillator, where the boundary points are at a separation of a multiple of the

Mössbauer effect (1,160 words) [view diff] case mismatch in snippet view article find links to article

.41..127H. doi:10.1119/1.1987142. Ninio, F. (1973). "The Forced Harmonic Oscillator and the Zero-Phonon Transition of the Mössbauer Effect". American

Ince equation (299 words) [view diff] exact match in snippet view article find links to article

W. Jr. (1975), "Lie theory and separation of variables. VII. The harmonic oscillator in elliptic coordinates and Ince polynomials" (PDF), Journal of Mathematical

Peter Bergmann (957 words) [view diff] case mismatch in snippet view article find links to article

Institutions Syracuse University Institute for Advanced Study Thesis The Harmonic Oscillator in a Spherical Space (1936) Doctoral advisor Philipp Frank Other academic

Rayleigh–Lorentz pendulum (710 words) [view diff] exact match in snippet view article find links to article

fraction of time that the pendulum spends in that element. For simple harmonic oscillator, it reduces to E ¯ = 1 2 A 2 ω 2 {\displaystyle {\bar {E}}={\tfrac

Krylov–Bogoliubov averaging method (828 words) [view diff] exact match in snippet view article find links to article

0<\varepsilon \ll k.} If ε = 0 then the equation becomes that of the simple harmonic oscillator with constant forcing, and the general solution is u ( t ) = a k

Phase space crystal (3,839 words) [view diff] exact match in snippet view article find links to article

in phase space. For example, the effective Hamiltonian of kicked harmonic oscillator (KHO). can possess square lattice, triangle lattice and even quasi-crystal

Harold Ralph Lewis (892 words) [view diff] exact match in snippet view article find links to article

invariant, a quantity conserved during Hamiltonian evolution of a harmonic oscillator system. While at Dartmouth, Lewis published on plasma physics of

Piano acoustics (1,920 words) [view diff] exact match in snippet view article find links to article

inharmonicity in the strings. For a string vibrating like an ideal harmonic oscillator, the overtone series of a single played note includes many additional

List of equations in classical mechanics (1,075 words) [view diff] exact match in snippet view article find links to article

simple harmonic motion, damped harmonic motion, simple harmonic oscillator and damped harmonic oscillator respectively. List of physics formulae Defining equation

Reciprocating engine (2,457 words) [view diff] exact match in snippet view article find links to article

the working medium is a quantum system such as spin systems or a harmonic oscillator. The Carnot cycle and Otto cycle are the ones most studied. The quantum

Kepler problem (1,558 words) [view diff] exact match in snippet view article find links to article

also obeys an inverse square law. The Kepler problem and the simple harmonic oscillator problem are the two most fundamental problems in classical mechanics

Circuit quantum electrodynamics (1,607 words) [view diff] exact match in snippet view article find links to article

Jaynes–Cummings model can be ascribed to a cavity term, which is mimicked by a harmonic oscillator, an atomic term and an interaction term. H JC = ℏ ω r ( a † a + 1

Peter Mazur (752 words) [view diff] exact match in snippet view article find links to article

Langevin equation with Irwin Oppenheim and the classic paper on harmonic oscillator systems by George Ford, Mark Kac, and Mazur, which was published

Complex differential form (1,413 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3). Section 4: 122. arXiv:1908.02349

Geometric quantization (1,635 words) [view diff] exact match in snippet view article find links to article

example, the half-form correction allows the quantization of the harmonic oscillator to reproduce the standard quantum mechanical formula for the energies

Brian Wybourne (510 words) [view diff] exact match in snippet view article find links to article

Retrieved 4 October 2014. Haskell, T. G. (1972). The group theory of the harmonic oscillator with applications in physics (PhD thesis). UC Research Repository

Geometric quantization (1,635 words) [view diff] exact match in snippet view article find links to article

example, the half-form correction allows the quantization of the harmonic oscillator to reproduce the standard quantum mechanical formula for the energies

Change of variables (PDE) (1,813 words) [view diff] exact match in snippet view article

rotation on torii. As a particular example, consider the simple harmonic oscillator, with x ˙ = 2 p {\displaystyle {\dot {x}}=2p} and p ˙ = − 2 x {\displaystyle

Roy J. Glauber (1,664 words) [view diff] case mismatch in snippet view article find links to article

Atomic Heritage Foundation Glauber States: Coherent states of Quantum Harmonic Oscillator Archived 2013-01-25 at the Wayback Machine Roy J. Glauber, Harvard

Clifford bundle (1,203 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

Pierre De Meyts (2,632 words) [view diff] exact match in snippet view article find links to article

the insulin and IGF-I receptor based on bivalent crosslinking of a harmonic oscillator (with Vladislav Kiselyov) Diabetogenes concept of T2D pathogenesis

Electromagnetic electron wave (1,336 words) [view diff] exact match in snippet view article find links to article

electrons. Since electrons have inertia the system behaves as a harmonic oscillator, where the electrons oscillate at a frequency ωpe, called electron

Optical lattice (2,434 words) [view diff] exact match in snippet view article find links to article

3D array of sites which may be approximated as tightly confining harmonic oscillator potentials. The trapping potential experienced by atoms in an optical

Caterina Barbieri (1,281 words) [view diff] exact match in snippet view article find links to article

through the exclusive use of the ER-101 four-track sequencer and a harmonic oscillator. According to the artist's intentions, the album would "explore the

De Rham cohomology (2,923 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

Nonlinear system (2,645 words) [view diff] exact match in snippet view article find links to article

} for θ ≈ 0 {\displaystyle \theta \approx 0} . This is a simple harmonic oscillator corresponding to oscillations of the pendulum near the bottom of

Equatorial wave (2,494 words) [view diff] exact match in snippet view article find links to article

{v}}(y)} . Recognizing this as the Schrödinger equation for a quantum harmonic oscillator of frequency Ω = β / c {\displaystyle \Omega =\beta /c} , we know

Variational method (quantum mechanics) (2,033 words) [view diff] exact match in snippet view article

wavefunction. This has been demonstrated by calculations using a modified harmonic oscillator as a model system, in which an exactly solvable system is approached

Ronny Hadani (1,118 words) [view diff] case mismatch in snippet view article find links to article

Shamgar; Hadani, Ronny; Sochen, Nir (August 2008). "The Finite Harmonic Oscillator and Its Applications to Sequences, Communication, and Radar". IEEE

Quantum nondemolition measurement (1,080 words) [view diff] exact match in snippet view article find links to article

observables, but the position is not. On the other hand, for the harmonic oscillator the position and momentum satisfy periodic in time commutation relations

Magnetic force microscope (2,376 words) [view diff] exact match in snippet view article find links to article

small deflections, the tip-cantilever can be modeled as a damped harmonic oscillator with an effective mass (m) in [kg], an ideal spring constant (k)

Mathieu wavelet (1,411 words) [view diff] exact match in snippet view article find links to article

with periodic coefficients. For q = 0, it reduces to the well-known harmonic oscillator, a being the square of the frequency. The solution of the Mathieu

Pseudo-spectral method (2,505 words) [view diff] exact match in snippet view article find links to article

naturally in several standard problems. For example, the quantum harmonic oscillator is ideally expanded in Hermite polynomials, and Jacobi-polynomials

Hierarchical equations of motion (1,400 words) [view diff] no match in snippet view article find links to article

"Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath", Phys. Rev. A, 41 (12): 6676–6687, Bibcode:1990PhRvA..41.6676T

Sadollah Nasiri Gheydari (506 words) [view diff] case mismatch in snippet view article find links to article

Sadolah Nasiri: Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation, Symmetry Integrability and Geometry

Robert W. Fuller (1,917 words) [view diff] case mismatch in snippet view article find links to article

Physical Review 128, 919 (1962). S-Matrix Solution for the Forced Harmonic Oscillator, with S. M. Harris and E. L. Slaggie. American Journal of Physics

J. Nigro Sansonese (1,417 words) [view diff] exact match in snippet view article find links to article

the universe is fundamentally that of a particular and well-known harmonic oscillator known as a critically damped tank circuit, providing as well a multi-dimensional

Holomorphic vector bundle (2,394 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

David Shale (742 words) [view diff] exact match in snippet view article find links to article

ISSN 0019-2082. Shale, David; Stinespring, W. Forrest (1967). "The quantum harmonic oscillator with hyperbolic phase space" (PDF). Journal of Functional Analysis

Flux qubit (2,244 words) [view diff] exact match in snippet view article find links to article

qubit, there needs to be a non-linear element. If the circuit has a harmonic oscillator, such as in an LC-circuit, the energy levels are degenerate. This

Hiroshi Enatsu (924 words) [view diff] exact match in snippet view article find links to article

Evolution-parameter formalism", 1983 Matej Pavsic, "PseudoEuclidean signature harmonic oscillator, quantum field theory and vanishing cosmological constant", 1998

Ponderomotive force (1,718 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g(x)=x} along its principal axes. This gives rise to a harmonic oscillator in the secular motion with the so-called trapping frequency Ω ∝ q

An Introduction to Mechanics (317 words) [view diff] case mismatch in snippet view article find links to article

Fictitious Forces Chapter 10: Central Force Motion Chapter 11: The Harmonic Oscillator Chapter 12: The Special Theory of Relativity Chapter 13: Relativistic

Electrode (5,186 words) [view diff] exact match in snippet view article find links to article

at hand can be more accurately described by using the displaced harmonic oscillator model, in this model quantum tunneling is allowed. This is needed

Ehrenfest theorem (2,833 words) [view diff] exact match in snippet view article find links to article

\left\langle V'(x)\right\rangle } do agree. Thus, for the case of a quantum harmonic oscillator, the expected position and expected momentum do exactly follow the

Feedback (5,805 words) [view diff] exact match in snippet view article find links to article

There are two main types of electronic oscillator: the linear or harmonic oscillator and the nonlinear or relaxation oscillator. A latch or a flip-flop

Insulin receptor (3,920 words) [view diff] exact match in snippet view article find links to article

Kiselyov VV, Versteyhe S, Gauguin L, De Meyts P (February 2009). "Harmonic oscillator model of the insulin and IGF1 receptors' allosteric binding and activation"

Werner Heisenberg (14,173 words) [view diff] exact match in snippet view article find links to article

anharmonic oscillator. The dipole oscillator consists of a simple harmonic oscillator, which is thought of as a charged particle on a spring, perturbed

Stochastic differential equation (5,665 words) [view diff] exact match in snippet view article find links to article

equations after French physicist Langevin, describing the motion of a harmonic oscillator subject to a random force. The mathematical theory of stochastic

Aniline (4,128 words) [view diff] case mismatch in snippet view article find links to article

Kolczyńska, Katarzyna; Stępniewski, Tomasz M. (2010-07-12). "On the Harmonic Oscillator Model of Electron Delocalization (HOMED) Index and its Application

History of string theory (4,201 words) [view diff] exact match in snippet view article find links to article

function." Nordita preprint (1969); unpublished. Susskind, L (1969). "Harmonic oscillator analogy for the Veneziano amplitude". Physical Review Letters. 23

Schrödinger–Newton equation (3,508 words) [view diff] no match in snippet view article find links to article

opposite case of a narrow wave-function can be approximated by a harmonic-oscillator potential, where the Schrödinger–Newton dynamics leads to a rotation

Sándor J. Kovács (1,450 words) [view diff] exact match in snippet view article find links to article

kinematically in analogy to the recoil, from rest, of a damped simple harmonic oscillator. The linearity of the model allows solution of the inverse problem

Laser cooling (3,932 words) [view diff] exact match in snippet view article find links to article

held in optical traps, in both cases the mechanical system is a harmonic oscillator. Laser cooling reduces the random vibrations of the mechanical oscillator

Index of physics articles (S) (3,248 words) [view diff] exact match in snippet view article

Simons Center for Geometry and Physics Simple harmonic motion Simple harmonic oscillator Simple lens Simple machine Simple shear Simplex noise Simulated fluorescence

Soundart Chameleon (1,721 words) [view diff] exact match in snippet view article find links to article

firmware releases that can be run on the HorusDSP module, like dual harmonic oscillator, quad saw/square oscillator, filters, etc. Users can also create

Effective mass (spring–mass system) (3,236 words) [view diff] exact match in snippet view article

{y}}=-k(y-y_{\mathrm {eq} })} This is the equation for a simple harmonic oscillator with angular frequency: ω = k M + m 3 {\displaystyle \omega ={\sqrt

Helioseismology (5,445 words) [view diff] exact match in snippet view article find links to article

Fourier transform. To good approximation, each mode is a damped harmonic oscillator, for which the power as a function of frequency is a Lorentz function

Prior probability (6,753 words) [view diff] exact match in snippet view article find links to article

the quantal context (b). In the case of the one-dimensional simple harmonic oscillator of natural frequency ν {\displaystyle \nu } one finds correspondingly:

Quantum logic spectroscopy (1,262 words) [view diff] exact match in snippet view article find links to article

which requires both ions be similar in mass. The normal mode has harmonic oscillator states denoted as | n ⟩ m {\displaystyle |n\rangle _{m}} , where

Sudhir Ranjan Jain (1,405 words) [view diff] no match in snippet view article find links to article

(1 May 1995). "Analytical tests of Gutzwiller's trace formula for harmonic-oscillator potentials". Physical Review A. 51 (5): 3462–3468. Bibcode:1995PhRvA

Normal order (4,040 words) [view diff] exact match in snippet view article find links to article

\exp(-\beta {\hat {H}})} . For instance, for a single bosonic quantum harmonic oscillator we have that the thermal expectation value of the number operator

Milky Way (21,968 words) [view diff] exact match in snippet view article find links to article

orbit.[unreliable source?] This is very similar to how a simple harmonic oscillator works with no drag force (damping) term. These oscillations were

Albert Einstein (22,790 words) [view diff] exact match in snippet view article find links to article

matter where each atom in a lattice structure is an independent harmonic oscillator. In the Einstein model, each atom oscillates independently—a series

Albert Einstein (22,790 words) [view diff] exact match in snippet view article find links to article

matter where each atom in a lattice structure is an independent harmonic oscillator. In the Einstein model, each atom oscillates independently—a series

Self-adjoint operator (8,156 words) [view diff] exact match in snippet view article find links to article

consisting of eigenvectors for A. Example. The Hamiltonian for the harmonic oscillator has a quadratic potential V, that is − Δ + | x | 2 . {\displaystyle

Asım Orhan Barut (738 words) [view diff] no match in snippet view article find links to article

for Singular Potentials 1995 Su(1,1) Perturbations of the Simple Harmonic-Oscillator 1995 Self-Field Quantum Electrodynamics without Infinities - a New

Higgs mechanism (6,691 words) [view diff] exact match in snippet view article find links to article

{A}}^{2}}{2}}+{\frac {\ q^{2}\rho ^{2}\ }{2\ m}}\ A^{2}~.} This is a harmonic oscillator with frequency 1 m q 2 ρ 2 . {\displaystyle {\sqrt {{\frac

Solar cycle (10,070 words) [view diff] exact match in snippet view article find links to article

Jirikowic, John L. (31 March 2006). "The Sun as a low-frequency harmonic oscillator". Radiocarbon. 34 (2): 199–205. doi:10.2458/azu_js_rc.34.1450. ISSN 0033-8222

Kapitza's pendulum (2,715 words) [view diff] exact match in snippet view article find links to article

to the virial theorem the mean kinetic and potential energies in harmonic oscillator are equal. This means that the line of symmetry corresponds to half

Rotational–vibrational spectroscopy (6,786 words) [view diff] exact match in snippet view article find links to article

The first two terms in this expression correspond to a harmonic oscillator and a rigid rotor, the second pair of terms make a correction for

Discrete Fourier transform (12,333 words) [view diff] exact match in snippet view article find links to article

Shamgar Gurevich; Ronny Hadani; Nir Sochen (2008). "The finite harmonic oscillator and its applications to sequences, communication and radar". IEEE

The Mechanical Universe (4,198 words) [view diff] exact match in snippet view article find links to article

applicability of the linear theory of the externally-driven simple harmonic oscillator. The opening sequence used for the first 26 episodes lists the show's

3-j symbol (5,972 words) [view diff] exact match in snippet view article find links to article

Kramer, P. (1967). "Orbital fractional parentage coefficients for the harmonic oscillator shell model". Z. Phys. 205 (2): 181. Bibcode:1967ZPhy..205..181K

Danz CM (4,159 words) [view diff] case mismatch in snippet view article find links to article

and Harmony of the Spheres. The last chapter is titled One Big Harmonic Oscillator in reference to the cyclic model. The episodes are released intermittently

Neural binding (4,533 words) [view diff] exact match in snippet view article find links to article

Some trajectories of a harmonic oscillator. The Temporal Binding Hypothesis and other areas of neural binding use this idea to describe the pairing of

History of physics (14,790 words) [view diff] exact match in snippet view article find links to article

Leonhard Euler solved the ordinary differential equation for a forced harmonic oscillator and noticed the resonance phenomenon. In 1742, Colin Maclaurin discovered

Laplace–Runge–Lenz vector (10,218 words) [view diff] exact match in snippet view article find links to article

In illustration, the LRL vector for a non-relativistic, isotropic harmonic oscillator can be calculated. Since the force is central, F ( r ) = − k r ,

Hyperuniformity (4,601 words) [view diff] exact match in snippet view article find links to article

mechanism of fluidic hyperuniformity as the damping of the stochastic harmonic oscillator, which indicates that the suppressed long-wavelength density fluctuation

Lambert W function (12,429 words) [view diff] exact match in snippet view article find links to article

quantum-mechanical potential, which affords the fifth – next to those of the harmonic oscillator plus centrifugal, the Coulomb plus inverse square, the Morse, and

Quantum heat engines and refrigerators (5,134 words) [view diff] exact match in snippet view article find links to article

the working medium is a quantum system such as spin systems or an harmonic oscillator. For maximum power the cycle time should be optimized. There are

Stellar dynamics (17,631 words) [view diff] exact match in snippet view article find links to article

the edge to infinity". The gravity is like the restoring force of harmonic oscillator inside the sphere, and Keplerian outside as described by the Heaviside

Coherent states in mathematical physics (5,762 words) [view diff] exact match in snippet view article find links to article

superpositions of eigenstates of some self-adjoint operator, as was the harmonic oscillator Hamiltonian for the standard CS. It is the essence of quantum mechanics

Light-front computational methods (11,024 words) [view diff] exact match in snippet view article find links to article

and the transverse dependence is represented by two-dimensional harmonic oscillator functions. The latter are ideal for applications to confining cavities

Heat transfer physics (9,679 words) [view diff] exact match in snippet view article find links to article

and bκ,α†bκ,α is the phonon number operator. The energy of quantum-harmonic oscillator is Ep = Σκ,α [fp(κ,α) + 1/2]ħωp,α(κp), and thus the quantum of phonon

Classical orthogonal polynomials (6,139 words) [view diff] exact match in snippet view article find links to article

mechanics, they are the solutions of Schrödinger's equation for the harmonic oscillator. They are also eigenfunctions (with eigenvalue (−i n) of the continuous

Mølmer–Sørensen gate (5,692 words) [view diff] exact match in snippet view article find links to article

trapped ion consists of the interaction between a spin-1/2 system, a harmonic oscillator trapping potential, and an external laser radiation field: H = H

Gravity wave (2,568 words) [view diff] exact match in snippet view article find links to article

researchers were able to recreate the energy wave functions of an inverted harmonic oscillator, a system that serves as an analog for black hole physics. The experiment

Light-front quantization applications (9,006 words) [view diff] exact match in snippet view article find links to article

gluon Fock states. Remarkably, the potential has a unique form of a harmonic oscillator potential if one requires that the chiral QCD action remains conformally

Shared intentionality (2,962 words) [view diff] exact match in snippet view article find links to article

recipient) in a shared ecological context; (iii) a single low-frequency harmonic oscillator. In the beginning, interpersonal dynamics in these relative organisms

Source field (9,512 words) [view diff] exact match in snippet view article find links to article

e^{J\phi }} . This motivates considering the Hamiltonian of forced harmonic oscillator as a toy model H = E a ^ † a ^ − 1 2 E ( J a ^ † + J ∗ a ^ ) {\displaystyle

Symmetry of diatomic molecules (7,820 words) [view diff] exact match in snippet view article find links to article

matrix elements can be expressed in position basis in terms of the harmonic oscillator wavefunctions: Hermite polynomials. Using the property of Hermite

Azaborine (3,769 words) [view diff] exact match in snippet view article find links to article

calculated by density functional theory calculated metrics such as harmonic oscillator model of aromaticity, extracyclic resonance energy, aromatic fluctuation