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The Dirac Propagator for One-Dimensional Finite Square Well

The Dirac Propagator for One-Dimensional Finite Square Well
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摘要 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. 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.
作者 P. Kongkhuntod N. Yongram P. Kongkhuntod;N. Yongram(Department of Physics, Faculty of Science, Naresuan University, Phitsanulok, Thailand)
机构地区 Department of Physics
出处 《Journal of Modern Physics》 2020年第10期1639-1648,共10页 现代物理(英文)
关键词 PATH-INTEGRAL Dirac Equation Dirac Propagator Finite Square Well Path-Integral Dirac Equation Dirac Propagator Finite Square Well
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