Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time

TL;DR

This paper investigates the relativistic quantum behavior of a spin-0 scalar particle in a 5D cosmic string spacetime with magnetic and scalar potentials, revealing how these factors influence energy levels and break degeneracy.

Contribution

It provides an exact solution to the Klein-Gordon equation in a 5D cosmic string background with magnetic flux and scalar potential, analyzing the relativistic Aharonov-Bohm effect.

Findings

Energy levels depend on space-time parameters, scalar potential, and magnetic field.

Degeneracy of energy levels is broken by these parameters.

Relativistic Aharonov-Bohm effect is demonstrated for bound states.

Abstract

In this paper, we study a relativistic quantum dynamics of spin-$0$ scalar particle interacts with scalar potential in the presence of a uniform magnetic field and quantum flux in the background of Kaluza-Klein theory (KKT). We solve Klein-Gordon equation in the considered framework and analyze the relativistic analogue of the Aharonov-Bohm effect for bound states. We show that the energy levels depend on the global parameters characterizing the space-time, the scalar potential and the magnetic field which break their degeneracy.