Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential

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AKÇAY H., Sever R.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.131, no.7, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 131 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1140/epjp/i2016-16225-1
  • Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: Yes

Abstract

We investigate the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator confined by an antidot potential in the presence of a magnetic field and Aharonov-Bohm flux field. Analytical solutions are obtained and compared with the results of the Schrodinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed.