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Paul Dirac
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Paul Adrien Maurice Dirac. country GBR | OM | FRS (d | ɪ | ˈ | r | æ | k di | RAK 8 August 1902 – 20 October 1984) was an EnglishDirac equation (6,094 words) [view diff] no match in snippet view article find links to article...

In particle physics , the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its freeDirac delta function (11,565 words) [view diff] no match in snippet view article find links to article...

In mathematics, the Dirac delta function, or δ function, is a generalized function , or distribution , on the real number line that is zeroDirac (video compression format) (1,845 words) [view diff] no match in snippet view article find links to article...

Dirac is an open and royalty-free video compression format specification and system developed by BBC Research at the BBC SchrödingerFermi–Dirac statistics (3,581 words) [view diff] no match in snippet view article find links to article...

In quantum statistics , a branch of physics , Fermi–Dirac statistics describes a distribution of particles in certain systems comprisingDirac Prize (889 words) [view diff] no match in snippet view article find links to article...

The Dirac Prize is the name of four prominent award s in the field of theoretical physics , computational chemistry , and mathematics ,Dirac spinor (1,956 words) [view diff] no match in snippet view article find links to article...

In quantum field theory , the Dirac spinor is the bispinor in the plane-wave solution:\ psi \omega_\vec p\;e^-ipx. of the free DiracGamma matrices (5,566 words) [view diff] no match in snippet view article find links to article...

In mathematical physics , the gamma matrices , \ \gamma^0, \gamma^1, \gamma^2, \gamma^3 \ , also known as the Dirac matrices, are a set ofGabriel Andrew Dirac (209 words) [view diff] no match in snippet view article find links to article...

Gabriel Andrew Dirac (March 13, 1925 – July 20, 1984) was a mathematician who mainly worked in graph theory . He stated a sufficientFermionic field (1,278 words) [view diff] no match in snippet view article find links to article...

In quantum field theory , a fermionic field is a quantum field whose quanta are fermion s; that is, they obey Fermi–Dirac statistics .Dirac, Charente (157 words) [view diff] no match in snippet view article find links to article...

Dirac is a commune in the Charente department in the Poitou-Charentes region in southwestern France . Population: align left | 1962 | 538Dirac sea (1,629 words) [view diff] no match in snippet view article find links to article...

The Dirac sea is a theoretical model of the vacuum as an infinite sea of particles with negative energy . physicist Paul Dirac in 1930 toDirac fermion (116 words) [view diff] no match in snippet view article find links to article...

In physics , a Dirac fermion is a fermion which is not its own antiparticle . It is named for Paul Dirac . modelled with the Dirac equation .Dirac operator (722 words) [view diff] no match in snippet view article find links to article...

In mathematics and quantum mechanics , a Dirac operator is a differential operator that is a formal square root, or half-iterate , of aDirac comb (1,084 words) [view diff] no match in snippet view article find links to article...

In mathematics , a Dirac comb (also known as an impulse train and sampling function in electrical engineering ) is a periodic SchwartzDirac adjoint (419 words) [view diff] no match in snippet view article find links to article...

In quantum field theory , the Dirac adjoint defines the dual operation of a Dirac spinor . The Dirac adjoint is motivated by the need toDirac measure (562 words) [view diff] no match in snippet view article find links to article...

In mathematics , a Dirac measure is a measure δ x on a set X (with any σ-algebra of subset s of X) defined for a given x ∈ X and anyDirac bracket (3,963 words) [view diff] no match in snippet view article find links to article...

The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to treat classical systems with second classDirac algebra (563 words) [view diff] no match in snippet view article find links to article...

In mathematical physics , the Dirac algebra is the Clifford algebra C ℓ 1,3(C). This was introduced by the mathematical physicist P. A. MDirac large numbers hypothesis (2,646 words) [view diff] no match in snippet view article find links to article...

The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe toDirac string (379 words) [view diff] no match in snippet view article find links to article...

In physics , a Dirac string is a hypothetical one-dimensional curve in space, conceived of by the physicist Paul Dirac , stretching betweenDirac spectrum (126 words) [view diff] no match in snippet view article find links to article...

In mathematics , a Dirac spectrum, named after Paul Dirac , is the spectrum of eigenvalue s of a Dirac operator on a Riemannian manifoldTwo-body Dirac equations (6,412 words) [view diff] no match in snippet view article find links to article...

In quantum field theory , and in the significant subfields of quantum electrodynamics and quantum chromodynamics , the two-body DiracKapitsa–Dirac effect (432 words) [view diff] no match in snippet view article find links to article...

The Kapitsa–Dirac effect is a quantum mechanical effect consisting of the diffraction of electrons by a standing wave of light The effect5997 Dirac (177 words) [view diff] no match in snippet view article find links to article...

5997 Dirac (1983 TH) is a main-belt asteroid discovered on October 1, 1983 by A. Mrkos at Klet . External links : http://ssd.Magnetic monopole (10,400 words) [view diff] no match in snippet view article find links to article...

Dirac's quantization: One of the defining advances in quantum theory was Paul Dirac 's work on developing a relativistic quantumNonlinear Dirac equation (987 words) [view diff] no match in snippet view article find links to article...

In quantum field theory , the nonlinear Dirac equation is a model of self-interacting Dirac fermion s. This model is widely considered inComplete Fermi–Dirac integral (134 words) [view diff] no match in snippet view article find links to article...

In mathematics , the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac , for an index j is given by: F_j(x) \frac 1\Dirac hole theory (211 words) [view diff] no match in snippet view article find links to article...

Dirac hole theory is a theory in quantum mechanics , named after English theoretical physicist Paul Dirac . solutions to the Dirac equationBra–ket notation (5,430 words) [view diff] no match in snippet view article find links to article...

The notation was introduced in 1939 by Paul Dirac and is also known as Dirac notation, though the notation has precursors in Grassmann 'sFeynman slash notation (456 words) [view diff] no match in snippet view article find links to article...

In the study of Dirac field s in quantum field theory , Richard Feynman invented the convenient Feynman slash notation (less commonly knownEinstein–Maxwell–Dirac equations (786 words) [view diff] no match in snippet view article find links to article...

Einstein–Maxwell–Dirac equations (EMD) are related to quantum field theory . The current Big Bang Model is a quantum field theory in aIncomplete Fermi–Dirac integral (70 words) [view diff] no match in snippet view article find links to article...

In mathematics , the incomplete Fermi –Dirac integral for an index j is given by: F_j(x,b) \frac 1\Gamma(j+1) \int_b^\infty \frac t^j\expInteraction picture (1,369 words) [view diff] no match in snippet view article find links to article...

In quantum mechanics , the interaction picture (also known as the Dirac picture) is an intermediate representation between the SchrödingerDirac equation in curved spacetime (479 words) [view diff] no match in snippet view article find links to article...

In mathematical physics , the Dirac equation in curved spacetime generalizes the original Dirac equation to curved space . It can beDirac equation in the algebra of physical space (1,209 words) [view diff] no match in snippet view article find links to article...

The Dirac equation , as the relativistic equation that describes spin 1/2 particles in quantum mechanics can be written in terms of theHelical Dirac fermion (74 words) [view diff] no match in snippet view article find links to article...

A Helical Dirac fermion is a charge carrier that behaves as a massless relativistic particle with its intrinsic spin locked to itsDirac–von Neumann axioms (429 words) [view diff] no match in snippet view article find links to article...

In mathematical physics , the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operator s on aPlanck constant (7,804 words) [view diff] no match in snippet view article find links to article...

The resulting constant is called the reduced Planck constant or Dirac constant. It is equal to the Planck constant divided by 2 π, and isFermion (1,095 words) [view diff] no match in snippet view article find links to article...

In particle physics , a fermion (a name coined by Paul Dirac from the surname of Enrico Fermi ) is any particle characterized by Fermi–Abraham–Lorentz force (2,193 words) [view diff] no match in snippet view article find links to article...

Its relativistic generalization is called the "Abraham-Lorentz-Dirac force". relativistic, called the "Abraham–Lorentz–Dirac–Langevin equation".List of things named after Paul Dirac (121 words) [view diff] no match in snippet view article find links to article...

In mathematics and physics , below is a list of things named in honour of Paul Adrien Maurice Dirac . Physics : Notations : Dirac notationThe Strangest Man (589 words) [view diff] no match in snippet view article find links to article...

The Strangest Man: The Hidden Life of Paul Dirac, Quantum Genius is a 2009 biography of quantum physicist Paul Dirac written by BritishHamiltonian path (1,612 words) [view diff] no match in snippet view article find links to article...

In fact, both Dirac's and Ore's theorems are less powerful than what can be derived from Pósa 's theorem (1962). Dirac and Ore's theoremsClifford analysis (3,097 words) [view diff] no match in snippet view article find links to article...

Clifford analysis, using Clifford algebra s named after William Kingdon Clifford , is the study of Dirac operator s, and Dirac typeBreit equation (1,202 words) [view diff] no match in snippet view article find links to article...

The Breit equation is a relativistic wave equation derived by Gregory Breit in 1929 based on the Dirac equation , which formallyChordal graph (2,166 words) [view diff] no match in snippet view article find links to article...

According to a theorem of Dirac | 1961, chordal graphs are graphs in which each minimal separator is a clique; Dirac used thisSpinor (7,429 words) [view diff] no match in snippet view article find links to article...

the spin, of the non-relativistic electron and other fermion s. Dirac spinor s, spinors of the Lorentz metric in dimension 4, are requiredWasp (novel) (1,424 words) [view diff] no match in snippet view article find links to article...

These threats are always signed by a mythical rebel organisation named Dirac Angestun Gesept (Sirian Freedom Party) and often emblazonedQuantum mechanics (11,162 words) [view diff] no match in snippet view article find links to article...

By 1930, quantum mechanics had been further unified and formalized by the work of David Hilbert , Paul Dirac and John von Neumann with aPhoton (12,984 words) [view diff] no match in snippet view article find links to article...

in 1926, Paul Dirac derived the B_ij rate constants in using a semiclassical approach and, in 1927, succeeded in deriving all the rateConnectivity (graph theory) (1,615 words) [view diff] no match in snippet view article find links to article...

According to a theorem of G. A. Dirac , if a graph is k-connected for k ≥ 2, then for every set of k vertices in the graph there is aElectron (15,712 words) [view diff] no match in snippet view article find links to article...

In 1928, building on Wolfgang Pauli's work, Paul Dirac produced a model of the electron – the Dirac equation , consistent with relativitySpin (physics) (6,778 words) [view diff] no match in snippet view article find links to article...

However, in 1928, Paul Dirac published the Dirac equation , which described the relativistic electron . In the Dirac equation, a four-Majorana fermion (2,061 words) [view diff] no match in snippet view article find links to article...

All of the Standard Model fermions except the neutrino behave as Dirac fermions at low energy (after electroweak symmetry breaking ), butWolfgang Pauli (3,663 words) [view diff] no match in snippet view article find links to article...

This work is sometimes said to have influenced Paul Dirac in his creation of the Dirac equation for the relativistic electron, thoughGraphene (20,151 words) [view diff] no match in snippet view article find links to article...

The emergent massless Dirac equation was first pointed out by Gordon Walter Semenoff and David P. DeVincenzo and Eugene J. Mele SemenoffQuantum electrodynamics (6,269 words) [view diff] no match in snippet view article find links to article...

The first formulation of a quantum theory describing radiation and matter interaction is attributed to British scientist Paul Dirac , whoWerner Heisenberg (15,613 words) [view diff] no match in snippet view article find links to article...

The first, Bemerkungen zur Diracschen Theorie des Positrons (Remarks on Dirac's theory of the positron) was published in 1934 and theDelta potential (2,243 words) [view diff] no match in snippet view article find links to article...

In quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalizedLaplacian of the indicator (4,102 words) [view diff] no match in snippet view article find links to article...

In mathematics, the Laplacian of the indicator of the domain D is a generalisation of the derivative of the Dirac delta function to higherPositron (1,979 words) [view diff] no match in snippet view article find links to article...

Robert Oppenheimer argued strongly against the proton being the negative-energy electron solution to Dirac's equation. Dirac published aN-slit interferometric equation (1,531 words) [view diff] no match in snippet view article find links to article...

Quantum mechanics was first applied to optics , and interference in particular, by Paul Dirac Feynman, in his lectures , uses Dirac'sEnrico Fermi (11,623 words) [view diff] no match in snippet view article find links to article...

followed with a paper in which he applied the principle to an ideal gas , employing a statistical formulation now known as Fermi–Dirac statistics .Schrödinger equation (11,128 words) [view diff] no match in snippet view article find links to article...

The Dirac equation arose from taking the "square root" of the Klein–Gordon equation by factorizing the entire relativistic wave operatorThe Principles of Quantum Mechanics (464 words) [view diff] no match in snippet view article find links to article...

The Principles of Quantum Mechanics is an influential monograph on quantum mechanics written by Paul Dirac and first published by OxfordSoler model (490 words) [view diff] no match in snippet view article find links to article...

The Soler model is a quantum field theory model of Dirac fermion s interacting via four fermion interaction s in 3 spatial and 1 timeCanonical quantization (3,191 words) [view diff] no match in snippet view article find links to article...

Historically, this was not quite Werner Heisenberg 's route to obtaining quantum mechanics , but Paul Dirac introduced it in his 1926Foldy–Wouthuysen transformation (3,975 words) [view diff] no match in snippet view article find links to article...

Wouthuysen in 1949 to understand the nonrelativistic limit of the Dirac equation , the equation for the spin-1/2 particles A detailed't Hooft–Polyakov monopole (472 words) [view diff] no match in snippet view article find links to article...

In theoretical physics , the t Hooft–Polyakov monopole is a topological soliton similar to the Dirac monopole but without anyDistribution (mathematics) (7,306 words) [view diff] no match in snippet view article find links to article...

as the Dirac delta function (which is historically called a "function" even though it is not considered a genuine function mathematically).History of quantum field theory (3,578 words) [view diff] no match in snippet view article find links to article...

In particle physics, the history of quantum field theory starts with its creation by Paul Dirac , when he attempted to quantize theBispinor (2,225 words) [view diff] no match in snippet view article find links to article...

The Dirac bispinor is connected with the Weyl bispinor by a unitary transformation to the Dirac basis ,:\ psi\rightarrow 1\over\sqrt2\leftKlein–Gordon equation (2,083 words) [view diff] no match in snippet view article find links to article...

Any solution to the Dirac equation is automatically a solution to the Klein–Gordon equation, but the converse is not true. StatementMajorana equation (364 words) [view diff] no match in snippet view article find links to article...

The Majorana equation is a relativistic wave equation similar to the Dirac equation but includes the charge conjugate ψ c of a spinor ψRoman Jackiw (430 words) [view diff] no match in snippet view article find links to article...

born 1939 is a theoretical physicist and Dirac Medal list. Born in Lubliniec , Poland to a Ukrainian family, the family later moved toGross–Neveu model (796 words) [view diff] no match in snippet view article find links to article...

The Gross-Neveu model is a quantum field theory model of Dirac fermion s interacting via four fermion interaction s in 1 spatial and 1 timePath integral formulation (10,186 words) [view diff] no match in snippet view article find links to article...

of the Lagrangian in quantum mechanics by P. A. M. Dirac in his 1933 paper The complete method was developed in 1948 by Richard Feynman .Zitterbewegung (823 words) [view diff] no match in snippet view article find links to article...

"trembling motion", from German ) is a theoretical rapid motion of elementary particles, in particular electrons, that obey the Dirac equation .Plate trick (503 words) [view diff] no match in snippet view article find links to article...

In mathematics and physics , the plate trick, also known as Dirac 's string trick, the belt trick, Balinese cup trick, is any of severalRelativistic quantum mechanics (12,309 words) [view diff] no match in snippet view article find links to article...

dynamics of charged particle s in electromagnetic field s The key result is the Dirac equation , from which these predictions emerge automatically.Klein paradox (821 words) [view diff] no match in snippet view article find links to article...

In 1929, physicist Oskar Klein obtained a surprising result by applying the Dirac equation to the familiar problem of electron scatteringKogut–Susskind fermion (123 words) [view diff] no match in snippet view article find links to article...

Kogut–Susskind fermions are a lattice version of Kähler–Dirac fermion s, which obey a first-order differential equation by taking anHigher-dimensional gamma matrices (1,616 words) [view diff] no match in snippet view article find links to article...

matrices generalize to arbitrary dimension the four-dimensional Gamma matrices of Dirac, which are a mainstay of relativistic quantum mechanics.Spin geometry (136 words) [view diff] no match in snippet view article find links to article...

In mathematics, spin geometry is the area of differential geometry and topology where objects like spin manifold s and Dirac operator s,Mark Newman (808 words) [view diff] no match in snippet view article find links to article...

Mark Newman is a British physicist and Paul Dirac Professor of Physics at the University of Michigan , as well as an external facultySpacetime algebra (2,130 words) [view diff] no match in snippet view article find links to article...

The basis vectors \gamma_k share these properties with the Dirac matrices , but no explicit matrix representation is utilized in STA.Clifford algebra (7,810 words) [view diff] no match in snippet view article find links to article...

The Dirac matrices were first written down by Paul Dirac when he was trying to write a relativistic first-order wave equation for theC-number (133 words) [view diff] no match in snippet view article find links to article...

The term c-number (or classical number) is an old nomenclature used by Paul Dirac which refers to real and complex numbers.Transformation theory (quantum mechanics) (262 words) [view diff] no match in snippet view article find links to article...

The term transformation theory refers to a procedure and a "picture" used by P. A. M. Dirac in his early formulation of quantum theory ,Kronecker delta (2,157 words) [view diff] no match in snippet view article find links to article...

and in fact Dirac's delta was named after the Kronecker delta because of this analogous property. distinguishes the Kronecker and Dirac "functions".Heaviside step function (1,051 words) [view diff] no match in snippet view article find links to article...

It is also used in structural mechanics together with the Dirac delta function to describe different types of structural load s.Unit doublet (177 words) [view diff] no match in snippet view article find links to article...

In mathematics, the unit doublet is the derivative of the Dirac delta function . It can be used to differentiate signals in electricalMatrix mechanics (9,359 words) [view diff] no match in snippet view article find links to article...

It is equivalent to the Schrödinger wave formulation of quantum mechanics, and is the basis of Dirac 's bra–ket notation for the waveBoson (1,711 words) [view diff] no match in snippet view article find links to article...

make up one of the two classes of particle s, the other being fermion s The name boson was coined by Paul Dirac to commemorate theBernd Berg (218 words) [view diff] no match in snippet view article find links to article...

Bernd A. Berg is the Dirac Professor of Physics at the Florida State University His multicanonical approach to computer simulations isNaresh Dalal (273 words) [view diff] no match in snippet view article find links to article...

He is the Dirac Professor of Chemistry and Biochemistry at Florida State University , where he is affiliated with the National HighBristol and Bath Science Park (218 words) [view diff] no match in snippet view article find links to article...

Bristol and Bath Science Park (BBSP) is a science park located at Dirac Crescent, Emersons Green , Bristol England. It cost £300 millionFermi filter (63 words) [view diff] no match in snippet view article find links to article...

The Fermi filter is a common image processing filter that uses the Fermi-Dirac distribution in the Frequency domain to perform a low-passErice statement (155 words) [view diff] no match in snippet view article find links to article...

The Erice statement is a statement written by Paul Dirac , Piotr Kapitza , and Antonino Zichichi asking for freedom of expression forQuantum field theory (7,859 words) [view diff] no match in snippet view article find links to article...

The early development of the field involved Dirac , Fock , Pauli , Heisenberg and Bogolyubov . This phase of development culminated withLagrangian (5,917 words) [view diff] no match in snippet view article find links to article...

Dirac Lagrangian: The Lagrangian density for a Dirac field is:\ mathcal L i \hbar c \bar \psi \partial\!\!/\ \ psi - mc^2 \bar\psi \psiTheora (4,406 words) [view diff] no match in snippet view article find links to article...

It is comparable in open standards philosophy to the BBC 's Dirac codec. Theora is named after Theora Jones , Edison Carter 's ControllerSpecial relativity (11,763 words) [view diff] no match in snippet view article find links to article...

In 1928, Paul Dirac constructed an influential relativistic wave equation , now known as the Dirac equation in his honour that is fullyBose–Einstein statistics (4,081 words) [view diff] no match in snippet view article find links to article...

At low temperatures, bosons behave differently from fermion s (which obey the Fermi–Dirac statistics ) in that an unlimited number of themSupport (measure theory) (1,431 words) [view diff] no match in snippet view article find links to article...

Dirac measure : In the case of Dirac measure δ p, let x ∈ R and consider two cases: if x p, then every open neighbourhood N x of x containsRarita–Schwinger equation (604 words) [view diff] no match in snippet view article find links to article...

where \epsilon^\mu \nu \rho \sigma is the Levi-Civita symbol , γ 5 and γ ν are Dirac matrices , m is the mass, \sigma^\mu \nu \equiv i/2\Antiparticle (2,251 words) [view diff] no match in snippet view article find links to article...

In 1932, soon after the prediction of positron s by Paul Dirac , Carl D. Anderson found that cosmic-ray collisions produced theseAntiproton (1,537 words) [view diff] no match in snippet view article find links to article...

The existence of the antiproton with −1 electric charge, opposite to the +1 electric charge of the proton, was predicted by Paul Dirac inBargmann–Wigner equations (4,708 words) [view diff] no match in snippet view article find links to article...

Origin from the Dirac equation : Dirac equation. For reference, the Dirac equation is summarized below. It is the basis for buildingCanonical quantum gravity (3,200 words) [view diff] no match in snippet view article find links to article...

In Dirac's approach to quantization the unrestricted phase space is replaced by the so-called kinematic Hilbert space and the constraintElectron magnetic dipole moment (2,215 words) [view diff] no match in snippet view article find links to article...

Electron spin in the Pauli and Dirac theories : Pauli equation | Dirac equation The necessity of introducing half-integral spin goes backQuantization of the electromagnetic field (3,632 words) [view diff] no match in snippet view article find links to article...

In Dirac's theory the fields are quantized for the first time and it is also the first time that Planck's constant enters the expressionsRelativistic wave equations (2,988 words) [view diff] no match in snippet view article find links to article...

Although a landmark in quantum theory, the Dirac equation is only true for spin-½ fermions, and still predicts negative energy solutions,Lamb shift (1,690 words) [view diff] no match in snippet view article find links to article...

According to the Dirac equation , the 2 S 1/2 and 2 P 1/2 orbitals should have the same energy. accounted for by the Dirac equation) causesPhysicist (3,951 words) [view diff] no match in snippet view article find links to article...

File:Dirac 4.jpg | Paul Dirac (1902–84): made fundamental contributions to the early development of quantum mechanics and quantumJohn Cardy (482 words) [view diff] no match in snippet view article find links to article...

He was elected as a Fellow of the Royal Society in 1991 received the Dirac Medal of the IoP in 2000 was awarded the Lars Onsager PrizePolylogarithm (7,592 words) [view diff] no match in snippet view article find links to article...

In quantum statistics , the polylogarithm function appears as the closed form of integrals of the Fermi–Dirac distribution and the Bose–Chirality (physics) (1,388 words) [view diff] no match in snippet view article find links to article...

Invariance under parity by a Dirac fermion is called chiral symmetry. An experiment on the weak decay of cobalt -60 nuclei carried out byHydrogen-like atom (4,132 words) [view diff] no match in snippet view article find links to article...

the two particles, their (non-relativistic) Schrödinger equation can be solved in analytic form, as can the (relativistic) Dirac equation .Anomalous magnetic dipole moment (1,061 words) [view diff] no match in snippet view article find links to article...

The "Dirac" magnetic moment , corresponding to tree-level Feynman diagrams (which can be thought of as the classical result), can beValuation (measure theory) (1,046 words) [view diff] no match in snippet view article find links to article...

Examples Dirac valuation: Let \scriptstyle (X,\mathcal T) be a topological space, and let x be a point of X: the map:\ delta_x(UList of scientific laws named after people (1,593 words) [view diff] no match in snippet view article find links to article...

Dirac equation Dirac delta function Dirac comb Dirac spinor Dirac operator See also: List of things named after Paul Dirac |Fujikawa method (866 words) [view diff] no match in snippet view article find links to article...

To calculate a change in the measure under a chiral transformation, first consider the dirac fermions in a basis of eigenvectors of theList of atheists in science and technology (26,779 words) [view diff] no match in snippet view article find links to article...

Paul Dirac (1902–1984): British theoretical physicist , one of the founders of quantum mechanics , predicted the existence of antimatterFeynman checkerboard (1,277 words) [view diff] no match in snippet view article find links to article...

It provides a representation of solutions of the Dirac equation in (1+1)-dimensional spacetime as discrete sums. The model can beHans Heinrich Euler (387 words) [view diff] no match in snippet view article find links to article...

with a thesis Über die Streuung von Licht an Licht nach der Diracschen Theorie (On the scattering of light by light based on Dirac's theory).Introduction to quantum mechanics (11,268 words) [view diff] no match in snippet view article find links to article...

Dirac wave equation: Dirac equation. File:Dirac 3.jpg | Paul Dirac (1902–1984) In 1928, Paul Dirac extended the Pauli equation , whichFourier transform (13,003 words) [view diff] no match in snippet view article find links to article...

xi) |\displaystyle \sqrt 2\pi\cdot \delta(\omega) |\displaystyle 2\pi\delta(\nu) | The distribution δ(ξ) denotes the Dirac delta function . |Virtual particle (3,013 words) [view diff] no match in snippet view article find links to article...

Paul Dirac was the first to propose that empty space (a vacuum) can be visualized as consisting of a sea of electrons with negative energyMathematical formulation of quantum mechanics (5,223 words) [view diff] no match in snippet view article find links to article...

von Neumann , Hermann Weyl and Paul Dirac , and it became possible to unify several different approaches in terms of a fresh set of ideas.Wave function (9,118 words) [view diff] no match in snippet view article find links to article...

Soon after in 1928, Dirac found an equation from the first successful unification of special relativity and quantum mechanics applied toImpulse response (1,284 words) [view diff] no match in snippet view article find links to article...

The impulse response of a linear transformation is the image of Dirac's delta function under the transformation, analogous to theTimeline of developments in theoretical physics (292 words) [view diff] no match in snippet view article find links to article...

Heisenberg Uncertainty Principle | 1927 | Matrix Mechanics | 1925 | Fermi-Dirac Statistics | 1926 | Schrödinger equation | 1926 | BornFirst class constraint (3,605 words) [view diff] no match in snippet view article find links to article...

But Dirac noticed that we can turn the underlying differential manifold of the symplectic space into a Poisson manifold using aHistory of mathematical notation (19,049 words) [view diff] no match in snippet view article find links to article...

describing radiation and matter interaction is due to Paul Adrien Maurice Dirac , who, during 1920, was first able to compute theRepresentation theory of the Lorentz group (16,008 words) [view diff] no match in snippet view article find links to article...

contributions specialized to the Lorentz group over the years Physicist Paul Dirac was perhaps the first to manifestly knit everythingList of important publications in physics (15,911 words) [view diff] no match in snippet view article find links to article...

In these papers, Dirac formulates and derives the Dirac equation , which won him a Nobel Prize (1933) in Physics. last Feynman | firstThirring model (841 words) [view diff] no match in snippet view article find links to article...

The Thirring model is an exactly solvable quantum field theory which describes the self-interactions of a Dirac field in (1+1) dimensions.Exchange interaction (2,899 words) [view diff] no match in snippet view article find links to article...

Exchange interaction effects were discovered independently by physicists Werner Heisenberg and Paul Dirac in 1926." "Force" descriptionJ. Robert Oppenheimer (15,040 words) [view diff] no match in snippet view article find links to article...

Dirac's paper introduced an equation, known as the Dirac equation , which unified quantum mechanics, special relativity and the then-newSelf-adjoint operator (4,370 words) [view diff] no match in snippet view article find links to article...

In quantum mechanics their importance lies in the Dirac –von Neumann formulation of quantum mechanics, in which physical observable sCausal fermion system (3,645 words) [view diff] no match in snippet view article find links to article...

The physical starting point is the fact that the Dirac equation in Minkowski space has solutions of negative energy which are usuallySterile neutrino (2,571 words) [view diff] no match in snippet view article find links to article...

Dirac and Majorana terms: Sterile neutrinos allow the introduction of a Dirac mass term as usual. This can yield the observed neutrino massN-slit interferometer (1,309 words) [view diff] no match in snippet view article find links to article...

Feynman described thought experiment s, of two-slit quantum interference, of electrons using Dirac's notation This approach was extendedList of agnostics (39,370 words) [view diff] no match in snippet view article find links to article...

Paul Dirac (1902–1984): British theoretical physicist , one of the founders of quantum mechanics , predicted the existence of antimatterThe Quincunx of Time (1,429 words) [view diff] no match in snippet view article find links to article...

Late in the 21st century, a device called the Dirac communicator promises instantaneous communication across interstellar distances.First-order hold (1,316 words) [view diff] no match in snippet view article find links to article...

in the sampling and reconstruction theorem , a sequence of dirac impulses , x s(t), representing the discrete samples, x(nT), is low-passChiral anomaly (1,254 words) [view diff] no match in snippet view article find links to article...

In particular, there is a Dirac sea of fermions and, when such a tunneling happens, it causes the energy level s of the sea fermions toFlorida State University (18,967 words) [view diff] no match in snippet view article find links to article...

Information Technology The library also houses a collection of materials principally related to Dirac's times at FSU and Cambridge UniversitySatyendra Nath Bose (3,160 words) [view diff] no match in snippet view article find links to article...

The class of particles that obey Bose–Einstein statistics, boson s, was named after him by Paul Dirac A self-taught scholar and a polyglotTheoretical chemistry (1,370 words) [view diff] no match in snippet view article find links to article...

Bohr's quantized model of electron in the atom, applies to both the time independent Schrödinger and the time dependent Dirac formulations.Clebsch–Gordan coefficients (3,264 words) [view diff] no match in snippet view article find links to article...

The formulas below use Dirac's bra–ket notation . Clebsch–Gordan coefficients are the expansion coefficients of total angular momentumStandard Model (mathematical formulation) (7,534 words) [view diff] no match in snippet view article find links to article...

If abstract index notation is used also for spinors then these will carry a spinorial index and the Dirac gamma will carry one LorentzianEhrenfest theorem (1,679 words) [view diff] no match in snippet view article find links to article...

Dirac's rule of thumb suggests that statements in quantum mechanics which contain a commutator correspond to statements in classicalIndex of physics articles (D) (1,765 words) [view diff] no match in snippet view article find links to article...

D Dirac Prize Dirac adjoint Dirac delta function Dirac equation Dirac equation in the algebra of physical space Dirac fermionPrimary constraint (513 words) [view diff] no match in snippet view article find links to article...

primary constraint is a relation between the coordinates and momenta that holds without using the equations of motion Dirac | 1964 | loc p.8.Moyal bracket (1,085 words) [view diff] no match in snippet view article find links to article...

his work in 1949 after a lengthy dispute with Paul Dirac In the meantime this idea was independently introduced in 1946 by Hip GroenewoldPhysics (8,900 words) [view diff] no match in snippet view article find links to article...

Quantum mechanics would come to be pioneered by Werner Heisenberg , Erwin Schrödinger and Paul Dirac . From this early work, and work inYukawa interaction (959 words) [view diff] no match in snippet view article find links to article...

In particle physics , Yukawa's interaction, named after Hideki Yukawa , is an interaction between a scalar field ϕ and a Dirac field ψ ofMatrix representation of Maxwell's equations (2,939 words) [view diff] no match in snippet view article find links to article...

where Σ are the Dirac spin matrices and α are the matrices used in the Dirac equation , and σ is the triplet of the Pauli matrices :\Theodore James Courant (292 words) [view diff] no match in snippet view article find links to article...

In particular, he made seminal contributions to the study of Dirac manifolds which generalize both symplectic manifold s and PoissonFierz identity (366 words) [view diff] no match in snippet view article find links to article...

There is a version of the Fierz identities for Dirac spinor s and there is another version for Weyl spinor s. And there are versions forNiels Bohr (10,671 words) [view diff] no match in snippet view article find links to article...

This work attracted the attention of the British physicist Paul Dirac ,Pais | 1991 | pp 275–279 who came to Copenhagen for six months inHigher-dimensional supergravity (4,128 words) [view diff] no match in snippet view article find links to article...

The canonical example of a spinorial representation is the Dirac spinor , which exists in every number of space-time dimensions.Momentum operator (1,326 words) [view diff] no match in snippet view article find links to article...

Fourier transform: where δ stands for Dirac's delta function . Derivation from infinitesimal translations: Noether's theorem. The translationParticle statistics (881 words) [view diff] no match in snippet view article find links to article...

Fermi–Dirac statistics: Fermi–Dirac statistics. In Fermi–Dirac statistics (F–D statistics) interchanging any two particles of the system leavesAntimatter (5,854 words) [view diff] no match in snippet view article find links to article...

The modern theory of antimatter began in 1928, with a paper by Paul Dirac . Dirac realised that his relativistic version of theHiggsino (381 words) [view diff] no match in snippet view article find links to article...

The Higgsino is a Dirac fermion and that is a weak isodoublet with hypercharge half under the Standard Model gauge symmetries.Chung-Yao Chao (312 words) [view diff] no match in snippet view article find links to article...

When the positron was discovered by Carl David Anderson in 1932, confirming the existence of Paul Dirac's "antimatter ", it became clearDyon (272 words) [view diff] no match in snippet view article find links to article...

He extended the Dirac quantization condition to the dyon and used the model to predict the existence of a particle with the properties ofVladimir E. Zakharov (756 words) [view diff] no match in snippet view article find links to article...

Zakharov was awarded the Dirac Medal in 2003 for his contributions to the theory of turbulence , with regard to the exact results and theState space (physics) (190 words) [view diff] no match in snippet view article find links to article...

These state vectors , using Dirac's bra–ket notation , can often be treated like coordinate vector s and operated on using the rules ofCharles L. Kane (480 words) [view diff] no match in snippet view article find links to article...

He received the 2012 Dirac Prize , along with Shoucheng Zhang and Duncan Haldane , for their groundbreaking work on two- and three-Four-fermion interactions (191 words) [view diff] no match in snippet view article find links to article...

This is a four-fermi theory of Dirac fermion s without chiral symmetry and as such, it may or may not be massive. The Thirring model .Black star (semiclassical gravity) (442 words) [view diff] no match in snippet view article find links to article...

A similar structure should also exist for the Einstein-Maxwell-Dirac equations system, which is the (super)classical limit of quantumAether theories (3,065 words) [view diff] no match in snippet view article find links to article...

However, Dirac's aether hypothesis was motivated by his dissatisfaction with quantum electrodynamics , and it never gained support by theN.V.V.J. Swamy (830 words) [view diff] no match in snippet view article find links to article...

influential papers on the relativistic Kepler problem They introduced a symmetric Hamiltonian and solved the Dirac Equation for the Hydrogen atom.Dušanka Đokić (602 words) [view diff] no match in snippet view article find links to article...

University of Belgrade in January 1976 with a thesis entitled "The Generalization of Dirac's Degenerate Systems Theory in Classic Field Theory".Comparison of video codecs (4,415 words) [view diff] no match in snippet view article find links to article...

net/projects/dirac_theora_evaluation/ Evaluation of Dirac and Theora | Scientific paper | 2009 Mar. | Dirac, Dirac Pro, Theora I, H.264Parastatistics (999 words) [view diff] no match in snippet view article find links to article...

alternatives to the better known particle statistics models (Bose–Einstein statistics , Fermi–Dirac statistics and Maxwell–Boltzmann statistics ).Shoucheng Zhang (672 words) [view diff] no match in snippet view article find links to article...

prize in 2012, and the Dirac Medal and Prize in 2012 for his theoretical prediction of the quantum spin Hall effect and topological insulators .Basil Hiley (12,025 words) [view diff] no match in snippet view article find links to article...

Hiley cites the wording of Paul Dirac : "Each electron only interferes with itself" and adds: "Somehow the ‘quantum force’ is a ‘private’Joseph Polchinski (689 words) [view diff] no match in snippet view article find links to article...

In 2008 he won the Dirac Medal for his work in superstring theory Polchinski's paradox: In 1990, commenting on the Novikov self-consistencyKramers–Heisenberg formula (472 words) [view diff] no match in snippet view article find links to article...

The quantum mechanical derivation was given by Paul Dirac in 1927 The Kramers–Heisenberg formula was an important achievement when it wasKilling spinor (422 words) [view diff] no match in snippet view article find links to article...

Killing spinor indicates those twistor spinors which are also eigenspinor s of the Dirac operator The term is named after Wilhelm Killing .Hydrogen atom (3,652 words) [view diff] no match in snippet view article find links to article...

In 1928, Paul Dirac found an equation that was fully compatible with Special Relativity , and (as a consequence) made the wave function aSylvester–Gallai theorem (3,372 words) [view diff] no match in snippet view article find links to article...

Dirac's conjectured lower bound is asymptotically the best possible, since there is a proven matching upper bound t 2(n) ≤ n/2 for even nLaconic phrase (4,082 words) [view diff] no match in snippet view article find links to article...

Nobel Prize -winning British physicist Paul Dirac was notoriously taciturn During the question period after a lecture he gave at the...