On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics

TL;DR

This paper investigates how topological and noninertial effects influence the energy spectrum of a 2D Dirac oscillator in a spinning cosmic string spacetime with magnetic fields, revealing connections to condensed matter physics.

Contribution

It provides a detailed analysis of the Dirac oscillator's energy spectrum considering topological, noninertial, and magnetic effects, and explores analogies with condensed matter systems.

Findings

Derived explicit wave functions and energy spectrum expressions.

Analyzed the dependence of energy levels on physical parameters.

Established analogies with condensed matter physics phenomena.

Abstract

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the model. Expressions for the wave functions and energy spectrum are derived. The energy spectrum of the oscillator as a function of the various physical parameters involved in the problem is rigorously studied. Finally, we present some analogies between our results and others of the condensed matter physics.