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Path integral treatment for relativistic particles in external fields and quantized plane wave
Author(s) -
Bentag B.,
Boudjedaa T.,
Chetouani L.
Publication year - 2000
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/(sici)1521-3889(200002)9:2<103::aid-andp103>3.0.co;2-a
Subject(s) - exponent , condensed matter physics , physics , scaling , path integral formulation , critical exponent , plane (geometry) , stress (linguistics) , conductivity , mathematical physics , quantum mechanics , phase transition , mathematics , geometry , quantum , philosophy , linguistics
The dynamics of relativistic particles of spin 0 and 1/2, interacting with an external electromagnetic field and a quantized plane wave, is studied using the path integral framework. We take advantage of the existing properties of the interaction to introduce a delta functional in order to calculate Green's functions. This simply reduces the problem to two coupled oscillators. The energy spectrum and wave functions are calculated for the spin 0 case and the analogy with Jaynes‐Cummings model is made to derive the energy spectrum for the spin 1/2 case.