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The Dirac Propagator for One-Dimensional Finite Square Well
Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand
Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand
- 1 Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand
- 2 Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand
Journal of Modern Physics·Volume 11 (2020)·Pages 1639–1648·Published 12 October 2020·DOI10.4236/jmp.2020.1110102
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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.
KeywordsPath-IntegralDirac EquationDirac PropagatorFinite Square Well
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