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

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Kizilirmak D. D., KURU Ş.

PHYSICA SCRIPTA, vol.96, no.2, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1088/1402-4896/abd362
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Keywords: Dirac equation, Dirac-Weyl equation, supersymmetric methods, hyperbolic surface
  • Ankara University Affiliated: Yes

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.