Eur. Phys. J. C 20, 585-591 (2001)
DOI: 10.1007/s100520100657
Path integral for spinning particle in the plane wave field: Global and local projections
N. Boudiaf, T. Boudjedaa and L. ChetouaniDépartement de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, Algeria
(Received: 19 February 2001 / Published online: 28 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
Abstract
The Green function related to the problem of a Dirac particle
interacting
with a plane wave is calculated via the
path integral formalism proposed
recently by Alexandrou et al.
according to the two so-called
global and local projections. With the help of the incorporation
of two
simple identities, it is shown that the contribution to the calculation
of
the integrals comes essentially from classical solutions projected
along the
direction of wave propagation.
© Società Italiana di Fisica, Springer-Verlag 2001