论文标题

垂直磁场下倍曲面上狄拉克方程的溶液

The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields

论文作者

Kızılırmak, D. Demir, Kuru, Ş.

论文摘要

在这项研究中,首先回顾了如何通过使用超对称(SUSY)量子力学方法来获得垂直磁场下对倍boloid无质量的dirac-weyl方程的溶液。然后,已经根据dirac-weyl方程前发现的溶液计算了磁场下的大量电荷方程的溶液。例如,已经确定了双曲线表面上恒定磁场的情况。

In this study, firstly it is reviewed how the solutions of the Dirac-Weyl equation for a massless charge on the hyperboloid under perpendicular magnetic fields are obtained by using supersymmetric (SUSY) quantum mechanics methods. Then, the solutions of the Dirac equation for a massive charge under magnetic fields have been computed in terms of the solutions which were found before for the Dirac-Weyl equation. As an example, the case of a constant magnetic field on the hyperbolic surface for massless and massive charges has been worked out.

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