The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields
Mathematical Physics
2021-05-11 v2 math.MP
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.
Keywords
Cite
@article{arxiv.2011.01195,
title = {The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields},
author = {D. Demir Kızılırmak and Ş. Kuru},
journal= {arXiv preprint arXiv:2011.01195},
year = {2021}
}
Comments
9 pages, 2 figures