Klein-Gordon Oscillator in Kaluza-Klein Theory

TL;DR

This paper investigates the energy spectrum of the Klein-Gordon oscillator in various curved Kaluza-Klein spacetimes with topological defects, revealing dependencies on spacetime parameters and magnetic flux effects.

Contribution

It introduces a detailed analysis of the Klein-Gordon oscillator in Kaluza-Klein backgrounds with topological defects, including effects of magnetic flux and spacetime rotation.

Findings

Energy levels depend on global spacetime parameters.

Spectrum includes Aharonov-Bohm flux contributions.

Topological defects influence quantum states.

Abstract

In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of interaction between particles coupled harmonically with a topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, that treat the Klein-Gordon oscillator coupled to this background and find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the spectrum of energy is determined, and we observe that these energy levels are the sum of the term related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.