nLab Dirac equation



Quantum systems

quantum logic

quantum physics

quantum probability theoryobservables and states

quantum information

quantum computation

quantum algorithms:

Spin geometry



The differential equation encoded by a Dirac operator.

The equations of motion of the Dirac field.


Textbook account on the relativistic Dirac equation in 3+1d Minkowski spacetime:

See also:

The path integral approach to the Dirac equation:

  • Takashi Ichinose, Hiroshi Tamura, Path Integral Approach to Relativistic Quantum Mechanics: Two-Dimensional Dirac Equation, Progress of Theoretical Physics Supplement, Volume 92, April 1987, Pages 144–175, doi.

  • Pierre Gosselin, Janos Polonyi, Path Integral for Relativistic Equations of Motion, arXiv:hep-th/9708121.

  • Janos Polonyi, Path Integral for the Dirac Equation, arXiv:hep-th/9809115.

  • Wataru Ichinose, On the Feynman Path Integral for the Dirac Equation in the General Dimensional Spacetime, Communications in Mathematical Physics 329, 83–508 (2014), doi.

  • Wataru Ichinose, Notes on the Feynman path integral for the Dirac equation, Journal of Pseudo-Differential Operators and Applications 9, 789–809 (2018), doi.

The Dirac equation in a gravitational Schwarzschild spacetime background:

  • Paul M. Alsing, Bound states of the Dirac equation in Schwarzschild spacetime: an exploration of intuition for the curious student [arXiv:2207.00905]

Last revised on July 6, 2022 at 03:21:27. See the history of this page for a list of all contributions to it.