In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...

manifold M. If D 2 = Δ , {\displaystyle D^{2}=\Delta ,\,} where ∆ is the Laplacian of V, then D is called a Dirac operator. In high-energy physics, this requirement...

Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles...

\left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also called the Dirac matrices, are a set of conventional matrices with specific anticommutation...

T_{m}^{*}M\mid u\in \Delta (m),\,\alpha \in \Delta (m)^{\circ }\}} , then the union of these subspaces over m {\displaystyle m} forms a Dirac structure on M...

Paul Adrien Maurice Dirac OM FRS (/dɪˈræk/; 8 August 1902 – 20 October 1984) was an English mathematical and theoretical physicist who is considered to...

The Kapitza–Dirac effect is a quantum mechanical effect consisting of the diffraction of matter by a standing wave of light, in complete analogy to the...

(d-\delta )^{2}=\square } . The Dirac–Kähler equation is motivated by noting that this is also the property of the Dirac operator, yielding Dirac–Kähler...

In quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively...

specifically in calculus The Kronecker delta in mathematics The degree of a vertex (graph theory) The Dirac delta function in mathematics The transition...

quantum electrodynamics (QED) and quantum chromodynamics (QCD), the two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimensional yet...

because the divergence of the magnetic field is proportional to the Dirac delta function at the origin. We must define one set of functions for the vector...

In mathematical physics, the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved...

,: 112  the Dirac constant: 275  : 726  : xv  (or Dirac's constant: 148  : 604  : 313 ), the Dirac h {\textstyle h} : xviii  (or Dirac's h {\textstyle...

is not square-integrable. Likewise a position eigenstate would be a Dirac delta distribution, not square-integrable and technically not a function at...

the relativistic version is called the Lorentz–Dirac force or collectively known as Abraham–Lorentz–Dirac force. The equations are in the domain of classical...

where electrons are idealized as points with non-zero charge). The Dirac delta function, or δ function, is (informally) a generalized function on the...

Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual...

is the study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators...

Diproton Diquark Dirac Prize Dirac adjoint Dirac delta function Dirac equation Dirac equation in the algebra of physical space Dirac fermion Dirac large numbers...

operator d + δ {\displaystyle \mathrm {d} +\delta } is the Hodge–Dirac operator. When computing the Laplace–de Rham operator on a scalar function f, we have...

over a submanifold, generalizing the Dirac delta function, or more generally even directional derivatives of delta functions (multipoles) spread out along...

p. 129 Pauli 1927. Dirac 1928. Juvet, G. (1930). "Opérateurs de Dirac et équations de Maxwell". Commentarii Mathematici Helvetici (in French). 2: 225–235...

t;x',t')=\delta (x-x')\delta (t-t'),} where Hx denotes the Hamiltonian written in terms of the x coordinates, δ(x) denotes the Dirac delta-function, Θ(t)...

entry "Boson" Notes on Dirac's lecture Developments in Atomic Theory at Le Palais de la Découverte, 6 December 1945. UKNATARCHI Dirac Papers. BW83/2/257889...

_{k=-\infty }^{\infty }\delta (f-k/T).} In other words, the periodization of a Dirac delta δ , {\displaystyle \delta ,} resulting in a Dirac comb, corresponds...

: X → P X {\displaystyle \delta :X\to PX} called the unit, which in this case assigns to each element of a space the Dirac measure over it; A natural...

energy), i = 0 , 1 , 2 , 3 {\displaystyle i=0,1,2,3} , is the index of the Dirac delta (single force, i = 0 {\displaystyle i=0} ) and n = 1 , 2 , 3 {\displaystyle...

Schwinger developed quantum action principles based on early work by Paul Dirac. Feynman's integral method was not a variational principle but reduces to...