Aharonov-Bohm effect on spin-$0$ scalar massive charged particle with a uniform magnetic field in Som-Raychaudhuri space-time with a cosmic string

TL;DR

This paper investigates the relativistic quantum behavior of a charged scalar particle in a G"{o}del-type space-time with a cosmic string, focusing on the Aharonov-Bohm effect influenced by a uniform magnetic field and magnetic flux.

Contribution

It provides exact solutions to the Klein-Gordon equation in this complex space-time and analyzes the impact of magnetic flux on the energy spectrum, revealing novel quantum effects.

Findings

Derived energy eigenvalues for the system.

Identified the Aharonov-Bohm effect in this curved space-time.

Showed the influence of magnetic flux on quantum phases.

Abstract

We study the relativistic quantum dynamics of spin-$0$ massive charged particle in a G\"{o}del-type space-time with electromagnetic interactions. We solve the Klein-Gordon equation subject to a uniform magnetic field in the Som-Raychaudhuri space-time with a cosmic string. In addition, we include a magnetic quantum flux into the relativistic quantum system obtain the energy eigenvalues and analyze an analogue of the Aharonov-Bohm (AB) effect.