Path integral representation of the evolution operator for the Dirac equation

Alexander S. Lukyanenko; Inna A. Lukyanenko

doi:10.1117/12.726706

10 April 2007 Path integral representation of the evolution operator for the Dirac equation

Alexander S. Lukyanenko, Inna A. Lukyanenko

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.

Citation Download Citation

Alexander S. Lukyanenko and 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); https://doi.org/10.1117/12.726706

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