Relativistic quantum motion of an electron in spinning cosmic string spacetime in the presence of uniform magnetic field and Aharonov-Bohm potential

TL;DR

This paper investigates the relativistic quantum behavior of an electron in a spinning cosmic string spacetime with magnetic and Aharonov-Bohm fields, revealing how curvature and rotation affect bound states and energy levels.

Contribution

It provides exact solutions for the Dirac equation in this complex spacetime, analyzing the influence of physical parameters on energy spectra and bound states.

Findings

Bound states exist for the Dirac equation in this spacetime.

Energy levels depend on rotation, curvature, magnetic field, and flux.

Certain parameter values lead to forbidden energy levels.

Abstract

In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation, write the first and second-order equations from it, and then we solve these equations for bound states. We show that there are bound states solutions for the first-order equation Dirac. For the second-order equation, we show that its wave functions are given in terms of the Kummer functions and we determine the energies of the particle. We examine the behavior of the energies as a function of the physical parameters of the model, such as rotation, curvature, magnetic field, Aharonov-Bohm flux, and quantum numbers. Our study reveals that both curvature and rotation influence more intensely when these parameters have values smaller than 0.3. We also find that, depending on the values of these parameters, there are energy nonpermissible levels.