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Dirac particle in a plane wave field and the semi‐classical approximation
Author(s) -
Bourouaine S.
Publication year - 2005
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200410103
Subject(s) - plane wave , physics , formalism (music) , quadratic equation , dirac (video compression format) , action (physics) , field (mathematics) , classical mechanics , quantum mechanics , quantum electrodynamics , mathematics , geometry , art , musical , pure mathematics , neutrino , visual arts
In this paper we investigate the influence of photon represented by plane wave field on Dirac particle in the context of path integral approach given by Fradkin and Gitman formalism. In our case, although the action relative to Dirac particle in plane wave field seems to be non quadratic, the result obtained by semi‐classical approach is the same as that found by an exact calculation. Hence; when we add the plane wave field to any quadratic actions related to Fradkin and Gitman approach, the total action behaves like quadratic.