SEMICLASSICAL FORM OF THE RELATIVISTIC PARTICLE PROPAGATOR

Citation
Dm. Gitman et Si. Zlatev, SEMICLASSICAL FORM OF THE RELATIVISTIC PARTICLE PROPAGATOR, Modern physics letters A, 12(32), 1997, pp. 2435-2443
Citations number
12
Journal title
ISSN journal
02177323
Volume
12
Issue
32
Year of publication
1997
Pages
2435 - 2443
Database
ISI
SICI code
0217-7323(1997)12:32<2435:SFOTRP>2.0.ZU;2-R
Abstract
A detailed derivation of the semiclassical form for the relativistic p article propagator in arbitrary external electromagnetic held is prese nted. To this end a path-integral representation is used. The final fo rmula is a generalization of the Van Vleck-Pauli-Morette semiclassical representation in the nonrelativistic quantum mechanics. We demonstra te the efficiency of the former in the case of an arbitrary constant e lectromagnetic field.