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

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.

Noncommutative Dirac and Klein–Gordon oscillators in the background of cosmic string: Spectrum and dynamics

“…Recently, the Dirac and KG oscillators were studied in curve spacetime by introducing the tedrad fields e µ a , or, equivalently, the metric g µν = e µ a e ν b η ab , where η is the flat spacetime metric [11]- [17]. These models were also implemented in the topologycal defect background metric [15].…”