Dirac equation in curved spacetime information

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

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...

constant Dirac–Coulomb–Breit Hamiltonian Dirac equation Dirac equation in curved spacetime Dirac equation in the algebra of physical space Nonlinear Dirac equation...

connection arises in the Dirac equation when expressed in the language of curved spacetime, see Dirac equation in curved spacetime. Specifically there...

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

generalized to curved spacetime. Drawing further upon the analogy with geometric Newtonian gravity, it is natural to assume that the field equation for gravity...

In theoretical physics, quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general...

one of Dirac's many masterpieces. It is a powerful generalisation of Hamiltonian theory that remains valid for curved spacetime. The equations for the...

result of spacetime being curved by matter and energy. First published by Einstein in 1915 as a tensor equation, the EFE equate local spacetime curvature...

monopole is a singular solution of Maxwell's equation (because it requires removing the worldline from spacetime); in more sophisticated theories, it is superseded...

structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations. A wormhole can be visualized as a...

G-structure Spin manifold Spin structure Dirac equation in curved spacetime The same approach can be used for a spacetime of arbitrary dimension, where the frame...

extended, at least as a classical field theory, to curved spacetime. This arises similarly to the flat spacetime case, from coupling a free electromagnetic theory...

\partial _{\mu }A^{\mu }=0\,.} The electromagnetic wave equation is modified in two ways in curved spacetime, the derivative is replaced with the covariant derivative...

gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity is predicted to be so intense that spacetime itself would break...

be defined for a sufficiently small neighborhood of each point in this curved spacetime. Galileo Galilei had already postulated that there is no absolute...

gravitation is thought of as being due to a curved spacetime, caused by masses. The Einstein field equations, G a b = κ T a b {\displaystyle G_{ab}=\kappa...

In physics, a Dirac string is a one-dimensional curve in space, conceived of by the physicist Paul Dirac, stretching between two hypothetical Dirac monopoles...

problematic infinities in calculations.: 71  In 1928, Dirac wrote down a wave equation that described relativistic electrons: the Dirac equation. It had the following...

In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...

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