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

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