Eur. Phys. J. Plus (2016) 131: 225
https://doi.org/10.1140/epjp/i2016-16225-1

Regular Article

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

¹ Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey
² Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara, Turkey

^* e-mail: akcay@baskent.edu.tr

Received: 22 March 2016
Revised: 18 May 2016
Accepted: 3 June 2016
Published online: 4 July 2016

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 Schrödinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed.