The generalized Klein\u2013Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza\u2013Klein theory

Faizuddin Ahmed

doi:10.1140/epjc/s10052-020-7781-5

Faizuddin Ahmed

Open Access

https://doi.org/10.1140/epjc/s10052-020-7781-5

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Abstract

In this work, we study the generalized Klein–Gordon oscillator with interactions on a curved background within the Kaluza–Klein theory. We solve the generalized Klein–Gordon oscillator in the cosmic string space-time with a linear scalar potential and obtain the energy eigenvalue and corresponding eigenfunction. We show that the energy spectrum depends on the global parameters characterizing the space-time and the confining potential parameter. We also solve the generalized Klein–Gordon oscillator in a magnetic cosmic string background in the Kaluza–Klein theory with a linear scalar potential and analyze the analogue effect to the Aharonov–Bohm effect for bound states.

Highlights

The relativistic quantum dynamics of scalar and spin-1 2 particles on curved background space-time geometries as well as Gödel, and Gödel-type metrics have been investigated by various authors
By using the Kaluza–Klein theory, we introduce a magnetic flux through the line element of the cosmic string and write the generalized Klein– Gordon oscillator equation in five-dimensional space-time subject to a linear scalar potential
We have investigated the relativistic quantum dynamics of a scalar particle interacting with gravitational field produced by topological defects via the generalized Klein–Gordon oscillator in the cosmic string and magnetic cosmic string space-time within the Kaluza–Klein theory subject to a linear scalar potential

Summary

Introduction

The relativistic quantum dynamics of scalar and spin-1 2 particles on curved background space-time geometries as well as Gödel, and Gödel-type metrics have been investigated by various authors (see [1] and references therein). 2, we study the generalized Klein–Gordon oscillator in the cosmic string space-time in the Kaluza–Klein theory subject to a linear scalar potential; in Sect. The purpose of this section is to study the Klein–Gordon equation in the background space-time generated by the cosmic string within the Kaluza–Klein theory subject to a linear scalar potential.

Results

Conclusion