Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation

TL;DR

This paper explores the Aharonov-Bohm effect for bound states of relativistic scalar particles in a spacetime with a space-like dislocation, analyzing magnetic interactions, potentials, and torsion effects on quantum phases.

Contribution

It extends the analysis of the Aharonov-Bohm effect to relativistic scalar particles in topologically nontrivial spacetimes with torsion and magnetic flux.

Findings

Identification of torsion and magnetic flux effects on quantum phases

Analysis of bound states under different potentials

Extension of Aharonov-Bohm effect to relativistic scalar systems

Abstract

We investigate the analogue effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a space-like dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyse the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement to a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein-Gordon oscillator with a uniform magnetic field is analysed. We first focus on the effects of torsion that stem from the spacetime with a space-like dislocation and the geometric quantum phase. Then, we analyse the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.