Regular Article - Theoretical Physics
Path integral for one-dimensional Dirac oscillator
Laboratoire de Physique Théorique, Faculté des Sciences, Université de Jijel, BP 98, Ouled Aissa, Jijel, 18000, Algeria
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Revised: 22 October 2006
Published online: 6 January 2007
In this paper we derive the propagator for the one-dimensional Dirac oscillator using the supersymmetric path integral formalism. The spin calculations are carried out with the help of the technique of Grassmann functional integration. The Green function is exactly evaluated. The Polyakov spin factor is explicitly derived and the energy spectrum and the corresponding wave functions are deduced.
© Springer-Verlag Berlin Heidelberg, 2007