Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect

TL;DR

This paper investigates the behavior of a scalar particle described by the Klein-Gordon oscillator in a cosmic string space-time with a dislocation, considering external electromagnetic fields and the Aharonov-Bohm effect, including scalar potential influences.

Contribution

It introduces a detailed analysis of the Klein-Gordon oscillator in a complex cosmic space-time with external fields and scalar potential, extending previous models to include these effects.

Findings

Derived relativistic energy eigenvalues and eigenfunctions under external fields.

Observed the influence of magnetic flux and scalar potential on bound states.

Analyzed the Aharonov-Bohm effect analogue in this curved space-time context.

Abstract

In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a spacelike dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.