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...

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

approaches are compared, the use of the Schrödinger equation is sometimes called "wave mechanics". Paul Dirac incorporated special relativity and quantum mechanics...

British physicist Paul Dirac in 1930 to explain the anomalous negative-energy quantum states predicted by the Dirac equation for relativistic electrons...

exception of neutrinos. It appears in the plane-wave solution to the Dirac equation, and is a certain combination of two Weyl spinors, specifically, a bispinor...

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

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...

particles. Its theoretical relevance is similar to that of the Dirac equation. The equation solutions include a scalar or pseudoscalar field[clarification...

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

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...

of equation (2) to the electron – by various manipulations he factorized the equation into the form: and one of these factors is the Dirac equation (see...

these freedoms. The Majorana equation can be written in several distinct forms: As the Dirac equation written so that the Dirac operator is purely Hermitian...

can approximate the force of the impact by a Dirac delta. In doing so, one not only simplifies the equations, but one also is able to calculate the motion...

DO white dwarf stars. The non-relativistic Schrödinger equation and relativistic Dirac equation for the hydrogen atom can be solved analytically, owing...

charged particles in electromagnetic fields. The key result is the Dirac equation, from which these predictions emerge automatically. By contrast, in...

"lowering") operators. In 1928, Paul Dirac developed a relativistic wave equation, now termed the Dirac equation, which predicted the spin magnetic moment...

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...

Lévy-Leblond equation was obtained under similar heuristic derivations as the Dirac equation, but contrary to the latter, Lévy-Leblond equation is not relativistic...

from the Dirac equation, a fundamental equation connecting the electron's spin with its electromagnetic properties. Reduction of the Dirac equation for an...

identity for the stationary nonlinear Dirac equation in three spatial dimensions (and also the Maxwell-Dirac equations) and in arbitrary spatial dimension...

pseudo-relativistic Dirac equation. Dirac spinor, a wavefunction-like description of a Dirac fermion Dirac–Kähler fermion, a geometric formulation of Dirac fermions...

incorporated in the relativistic Dirac equation, with predictions that come still closer to experiment. Again the Dirac equation may be solved analytically...

Breit equation, or Dirac–Coulomb–Breit equation, is a relativistic wave equation derived by Gregory Breit in 1929 based on the Dirac equation, which...

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...

Dirac bracket Dirac adjoint Dirac cone Dirac points Dirac constant, see reduced Planck constant Dirac–Coulomb–Breit Hamiltonian Dirac equation Dirac equation...

of Dirac cone comes from the Dirac equation that can describe relativistic particles in quantum mechanics, proposed by Paul Dirac. Isotropic Dirac cones...

it was noted that a simplistic interpretation of the relativistic Dirac equation runs into problems with electron orbitals at Z > 1/α ≈ 137, suggesting...

_{S}-\langle A{\bar {j}}\rangle _{S}\,,} which is a real scalar invariant. The Dirac equation, for an electrically charged particle of mass m and charge e, takes...

named after Valentine Bargmann and Eugene Wigner. Paul Dirac first published the Dirac equation in 1928, and later (1936) extended it to particles of any...

They occur in the relativistic spin-1/2 wave function solutions to the Dirac equation. Bispinors are so called because they are constructed out of two simpler...