Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time

TL;DR

This paper investigates the relativistic quantum behavior of a generalized Klein-Gordon oscillator in cosmic string space-time within Kaluza-Klein theory, revealing energy spectra and effects of different potentials on bound states.

Contribution

It introduces a novel analysis of Klein-Gordon oscillators with Cornell and Coulomb potentials in cosmic string space-time under Kaluza-Klein theory, including Aharonov-Bohm effects.

Findings

Derived relativistic energy eigenvalues and eigenfunctions.

Analyzed the impact of Cornell and Coulomb potentials.

Explored the Aharonov-Bohm effect in this context.

Abstract

In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.