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Modern Physics Letters A

Semiclassical Form of the Relativistic Particle Propagator

Dmitri M Gitman, Stoian Ivanov Zlatev

Published Oct 20, 1997• 2 citations
Publisher

Abstract

A detailed derivation of the semiclassical form for the relativistic particle propagator in arbitrary external electromagnetic field is presented. To this end a path-integral representation is used. The final formula is a generalization of the Van Vleck–Pauli–Morette semiclassical representation in the nonrelativistic quantum mechanics. We demonstrate the efficiency of the former in the case of an arbitrary constant electromagnetic field.

DOI
10.1142/s0217732397002545

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