10 April 2007 Path integral representation of the evolution operator for the Dirac equation
Author Affiliations +
Proceedings Volume 6597, Nanodesign, Technology, and Computer Simulations; 659703 (2007) https://doi.org/10.1117/12.726706
Event: Nanodesign, Technology, and Computer Simulations, 2006, Olsztyn, Poland
Abstract
A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original representation of the path integral in the electron phase space. This regularization allows one to obtain a representation of the path integral over trajectories in the configuration space. This form of the path integral is useful for the formulation of perturbation theory in an external electromagnetic field.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexander S. Lukyanenko, Alexander S. Lukyanenko, Inna A. Lukyanenko, Inna A. Lukyanenko, "Path integral representation of the evolution operator for the Dirac equation", Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659703 (10 April 2007); doi: 10.1117/12.726706; https://doi.org/10.1117/12.726706
PROCEEDINGS
7 PAGES


SHARE
RELATED CONTENT

The nature of light: what are photons?
Proceedings of SPIE (September 30 2013)
Hidden variables: the elementary quantum of light
Proceedings of SPIE (September 09 2009)
Quantum measurement: a bridge to classical physics
Proceedings of SPIE (August 03 2003)
On quasi-classical nature of spin
Proceedings of SPIE (June 08 2006)
Quantum fluctuations and random matrix theory
Proceedings of SPIE (May 15 2003)

Back to Top