Torsion effects on a relativistic position-dependent mass system

TL;DR

This paper investigates how torsion and dislocation in spacetime affect the bound states and energy levels of a relativistic scalar particle with position-dependent mass, revealing new solutions and an Aharonov-Bohm-like effect.

Contribution

It introduces a novel analysis of relativistic bound states in a spacetime with dislocation and torsion, including effects of Coulomb potential and topological phenomena.

Findings

New relativistic bound state solutions influenced by torsion.

Modification of energy levels due to spacetime dislocation.

Observation of an Aharonov-Bohm-like effect in this context.

Abstract

We analyse a relativistic scalar particle with a position-dependent mass in a spacetime with a space-like dislocation by showing that relativistic bound states solutions can be achieved. Further, we consider the presence of the Coulomb potential and analyse the relativistic position-dependent mass system subject to the Coulomb potential in the spacetime with a space-like dislocation. We also show that a new set of relativistic bound states solutions can be obtained, where there also exists the influence of torsion of the relativistic energy levels. Finally, we investigate an analogue of the Aharonov-Bohm effect for bound states in this position-dependent mass in a spacetime with a space-like dislocation.