The European Physical Journal C

, Volume 49, Issue 4, pp 1091–1098 | Cite as

Path integral for one-dimensional Dirac oscillator

  • R. Rekioua
  • T. BoudjedaaEmail author
Regular Article - Theoretical Physics


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.


Green Function Proper Time Orbit Coupling Path Integral Formalism Feynman Path 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.Laboratoire de Physique Théorique, Faculté des SciencesUniversité de JijelJijelAlgeria

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