Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect

TL;DR

This paper solves a generalized Klein-Gordon oscillator in cosmic string space-time with magnetic and Coulomb-type potentials, deriving energy levels and exploring the relativistic Aharonov-Bohm effect for bound states.

Contribution

It introduces a comprehensive solution for the Klein-Gordon oscillator in a cosmic string background with magnetic and Coulomb potentials, including the Aharonov-Bohm effect.

Findings

Derived energy eigenvalues and eigenfunctions.

Analyzed the relativistic Aharonov-Bohm effect.

Explored effects of magnetic flux and Coulomb potentials.

Abstract

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy eigenvalues and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states