Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of G\"{o}del-type space-time

TL;DR

This study explores the relativistic quantum behavior of a charged spin-0 particle in a G"odel-type space-time with magnetic and potential fields, solving the Klein-Gordon equation to understand energy levels and wavefunctions.

Contribution

It provides exact solutions for the Klein-Gordon equation in a G"odel-type space-time with specific potentials, revealing effects on energy spectra.

Findings

Energy eigenvalues are explicitly derived.

Potentials influence the energy spectrum and eigenfunctions.

The results enhance understanding of quantum particles in curved space-times.

Abstract

In this paper, we investigate relativistic quantum dynamics of spin- $0$ massive charged particle subject to a homogeneous magnetic field in the G\"{o}del-type space-time with potentials. We solve the Klein-Gordon equation subject to a homogeneous magnetic field in a topologically trivial flat class of G\"{o}del-type space-time in the presence of a Cornell-type scalar and Coulomb-type vector potentials and analyze the effects on the energy eigenvalues and eigenfunctions.