TITLE:
The Dirac Propagator for One-Dimensional Finite Square Well
AUTHORS:
P. Kongkhuntod, N. Yongram
KEYWORDS:
Path-Integral, Dirac Equation, Dirac Propagator, Finite Square Well
JOURNAL NAME:
Journal of Modern Physics,
Vol.11 No.10,
October
26,
2020
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.