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

TL;DR

This paper analytically studies the energy spectrum and eigenfunctions of a 2D Dirac oscillator influenced by a magnetic field and antidot potential, comparing results with Schrödinger equation solutions.

Contribution

It provides new analytical solutions for the 2D Dirac oscillator under combined magnetic and antidot potentials, extending previous Schrödinger-based analyses.

Findings

Spectrum depends on magnetic quantum number and potential strength

Analytical solutions are consistent with Schrödinger equation results

Insights into the influence of magnetic and antidot potentials on energy levels

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