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arXiv · 2011.01195

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

D. Demir Kızılırmak·Ş. Kuru
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Abstract

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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D. Demir Kızılırmak, Ş. Kuru. 2021-05-07. The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields. https://doi.org/10.1088/1402-4896%2Fabd362

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