Moving potential for Dirac and Klein–Gordon equations

Pramana

Chetouani L1¹  Hamil B¹ 

[1] Département de Physique, Faculté des Sciences Exactes, Université des Frères Mentouri, Constantine, Algeria$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown