The Dirac Propagator for One-Dimensional Finite Square Well

P. Kongkhuntod, N. Yongram

Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand.

DOI: 10.4236/jmp.2020.1110102                

Abstract

The solution of Dirac particles confined in a one-dimensional finite square well potential is solved by using the path-integral formalism for Dirac equation. The propagator of the Dirac equation in case of the bounded Dirac particles is obtained by evaluating an appropriate path integral, directly constructed from the Dirac equation. The limit of integration techniques for evaluating path integral is only valid for the piecewise constant potential. Finally, the Dirac propagator is expressed in terms of standard special functions.

Keywords

Path-Integral, Dirac Equation, Dirac Propagator, Finite Square Well

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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