Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation

TL;DR

This paper investigates how topological defects like cosmic strings and dislocations influence the quantum behavior of scalar particles under a Cornell potential, revealing effects analogous to the Aharonov-Bohm phenomenon.

Contribution

It provides exact solutions for the Klein-Gordon equation in a cosmic string spacetime with dislocation, incorporating magnetic flux and potential effects, which is a novel analysis.

Findings

Energy eigenvalues depend on topological parameters.

A relativistic Aharonov-Bohm effect is demonstrated.

Topological defects modify the bound state spectrum.

Abstract

We study the relativistic quantum of scalar particles in the cosmic string space-time with a screw dislocation (torsion) subject to a uniform magnetic field including the magnetic quantum flux in the presence of potential. We solve the Klein-Gordon equation with a Cornell-type scalar potential in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states