Ground state of a bosonic massive charged particle in the presence of external fields in a G\"odel-type spacetime

TL;DR

This paper investigates the ground state of a spinless charged particle in a G"odel-type spacetime, considering Aharonov-Bohm and Coulomb potentials, revealing a quantum condition linking energy and spacetime vorticity.

Contribution

It introduces a detailed analysis of the Klein-Gordon equation in G"odel spacetime with external potentials, deriving a quantum condition and explicit ground state wave functions.

Findings

Established a quantum condition between energy and spacetime vorticity.

Derived the ground state wave functions for the system.

Analyzed the influence of external potentials on the particle's ground state.

Abstract

The relativistic quantum dynamics of a spinless charged particle interacting with both Aharonov-Bohm and Coulomb-type potentials in the G\"odel-type spacetime is considered. The dynamics of the system is governed by the Klein-Gordon equation with interactions. We verify that it is possible to establish a quantum condition between the energy of the particle and the parameter that characterizes the vorticist of the spacetime. We rigorously analyze the ground state of the system and determine the corresponding wave functions to it.