Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach

Details Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach

2005-07-09

arxiv.org/abs/math-ph/0507027v1

Eur.Phys.J.C44:131-137,2005

Physics

Mathematical Physics

12 pages, no figures

Scientific paper

10.1140/epjc/s2005-02352-4

The Green function (GF) related to the problem of a Dirac particle interacting with a plane wave and constant magnetic fields is calculated in the framework of path integral via Alexandrou et al. formalism according to the so-called global projection. As a tool of calculation, we introduce two identities (constraints) into this formalism, their main role is the reduction of integrals dimension and the emergence in a natural way of some classical paths, and due to the existence of constant electromagnetic field, we have used the technique of fluctuations. Hence the calculation of the (GF) is reduced to a known gaussian integral plus a contribution of the effective classical action.

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