Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant

TL;DR

This paper analyzes the behavior of spin-0 particles modeled by the Klein-Gordon oscillator within a Bonnor-Melvin universe influenced by a magnetic field and cosmological constant, deriving the energy spectrum under these conditions.

Contribution

It introduces a novel analysis of Klein-Gordon oscillators in a Bonnor-Melvin universe with a cosmological constant, solving the equation and obtaining the energy spectrum considering vector and scalar potentials.

Findings

Derived the energy spectrum of Klein-Gordon oscillators in this spacetime.

Extended the understanding of quantum particles in magnetic and cosmological backgrounds.

Provided analytical solutions for the Klein-Gordon equation in this context.

Abstract

In this work we study spin-0 particles described by the Klein-Gordon oscillator formalism in a spacetime which structure is determined by a homogeneous magnetic field and a cosmological constant. For this purpose we take into account a framework based on the Bonnor-Melvin solution with the inclusion of the cosmological constant. We write and solve the Klein-Gordon equation, and then find the energy spectrum by considering the effect of vector and scalar potentials.