Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect

TL;DR

This paper investigates the energy spectrum of a generalized Klein-Gordon oscillator in a five-dimensional Kaluza-Klein framework with a magnetic field, revealing how topology and potential influence quantum bound states and the Aharonov-Bohm effect.

Contribution

It introduces a novel analysis of the Klein-Gordon oscillator in higher-dimensional space with topological defects and a magnetic field, highlighting the dependence of energy levels on global parameters.

Findings

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

The study demonstrates an analogue of the Aharonov-Bohm effect for bound states.

Quantum effects are influenced by topological and confining potential parameters.

Abstract

In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza-Klein theory. We solve this equation and analyze an analogue of the Aharonov-Bohm effect for bound states. We observe that the energy levels for each radial mode depends on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect