27 Scopus citations

Abstract

In this paper we study the (2+1)-dimensional Dirac–Dunkl oscillator coupled to an external magnetic field. Our Hamiltonian is obtained from the standard Dirac oscillator coupled to an external magnetic field by changing the partial derivatives by the Dunkl derivatives. We solve the Dunkl–Klein–Gordon-type equations in polar coordinates in a closed form. The angular part eigenfunctions are given in terms of the Jacobi–Dunkl polynomials and the radial functions in terms of the Laguerre functions. Also, we compute the energy spectrum of this problem and show that, in the non-relativistic limit, it properly reduces to the Hamiltonian of the two dimensional harmonic oscillator.

Original languageEnglish
Article number167964
JournalAnnals of Physics
Volume411
DOIs
StatePublished - Dec 2019

Keywords

  • Dirac equation
  • Dirac–Moshinsky oscillator
  • Dunkl derivative

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