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Particles and Fields

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. Chetouani

Département 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)

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