• Moving potential for Dirac and Klein–Gordon equations

• Fulltext

https://www.ias.ac.in/article/fulltext/pram/086/04/0737-0746

• Keywords

Klein–Gordon equation; Dirac equation; moving potential; moving step; reflection and transmission coefficients.

• Abstract

Using the Lorentz transformation, the Klein–Gordon and Dirac equations with moving potentials are reduced to one standard where the potential is time-independent. As application, the reflection and transmission coefficients are determined by considering the moving step with a constant velocity $v$. It has been found that $R \pm T = 1$ only at $x = vt$. The problem of massless (2+1) Dirac particle is also considerered.

• Author Affiliations

1. Département de Physique, Faculté des Sciences Exactes, Université des Frères Mentouri, Constantine, Algeria

• Pramana – Journal of Physics

Volume 96, 2022
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Posted on July 25, 2019

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