https://doi.org/10.1140/epjc/s10052-006-0169-3
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
* e-mail: boudjeda@caramail.com
Received:
1
August
2006
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
