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Proceedings Paper

Path integral representation of the evolution operator for the Dirac equation
Author(s): Alexander S. Lukyanenko; Inna A. Lukyanenko
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Paper 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.

Paper Details

Date Published: 10 April 2007
PDF: 7 pages
Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659703 (10 April 2007); doi: 10.1117/12.726706
Show Author Affiliations
Alexander S. Lukyanenko, St. Petersburg State Polytechnical Univ. (Russia)
Inna A. Lukyanenko, St. Petersburg State Univ. (Russia)

Published in SPIE Proceedings Vol. 6597:
Nanodesign, Technology, and Computer Simulations
Alexander I. Melker; Teodor Breczko, Editor(s)

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