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...

physics, the Dirac–Kähler equation, also known as the Ivanenko–Landau–Kähler equation, is the geometric analogue of the Dirac equation that can be defined...

coining the latter term. Among other discoveries, he formulated the Dirac equation in 1928, which describes the behaviour of fermions and predicted the...

turn introducing Dirac matrices. In a modern context, the Klein-Gordon equation describes spin-less particles, while the Dirac equation describes spin-1/2...

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

notation. In quantum field theory, the nonlinear Dirac equation is a model of self-interacting Dirac fermions. This model is widely considered in quantum...

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

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

two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimensional yet manifestly covariant reformulation of the Bethe–Salpeter equation for...

to the Dirac equation for relativistic spin   1   2 {\displaystyle {\tfrac {\ 1\ }{2}}} particles. Gamma matrices were introduced by Paul Dirac in 1928...

In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator...

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

charge qm of the source. Dirac was originally considering an electron whose wave function is described by the Dirac equation. Because the electron returns...

interaction picture (also known as the interaction representation or Dirac picture after Paul Dirac, who introduced it) is an intermediate representation between...

Théophile de Donder and Frans-H. van den Dungen, and Louis de Broglie. Although it turned out that modeling the electron's spin required the Dirac equation, the...

the continuum of negative energy states, that are solutions to the Dirac equation, are filled with electrons, and the vacancies in this continuum (holes)...

The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe to that of force...

was introduced by the mathematical physicist P. A. M. Dirac in 1928 in developing the Dirac equation for spin-⁠1/2⁠ particles with a matrix representation...

comfortable with the "Dirac sea" of negative energy states). The natural problem became clear: to generalize the Dirac equation to particles with any...

Wheeler–DeWitt equation for theoretical physics and applied mathematics, is a field equation attributed to John Archibald Wheeler and Bryce DeWitt. The...

In mathematics a Dirac structure is a geometric structure generalizing both symplectic structures and Poisson structures, and having several applications...

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

particularly for his solution of the mean field theory of spin glasses." Dirac Medal of the ICTP, 1999. "Giorgio Parisi is distinguished for his original...

external electromagnetic field. It is the non-relativistic limit of the Dirac equation and can be used where particles are moving at speeds much less than...

une certaine relation entre leurs branches, exprimée par une Équation donnée.", Histoire de l'Académie Royale des Sciences: 196–215. Kamke, E. (1944),...

Mathematically, any Dirac fermion can be decomposed as two Weyl fermions of opposite chirality coupled by the mass term. The Dirac equation was published in...

satisfy the same equation as do the fields (wave functions) in many cases. Thus the Klein–Gordon equation (spin 0) and the Dirac equation (spin 1⁄2) in this...

{\displaystyle |1\rangle } denote particular solutions to the Schrödinger equation in Dirac notation weighted by the two probability amplitudes c 0 {\displaystyle...

The Dirac Medal of the ICTP is given each year by the International Centre for Theoretical Physics (ICTP) in honour of physicist Paul Dirac. The award...

mechanics and information theory, the Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability...