On the Klein-Gordon oscillator subject to a Coulomb-type potential

TL;DR

This paper investigates how a Coulomb-type potential affects the Klein-Gordon oscillator by modifying its mass term, revealing quantum effects like frequency dependence on quantum numbers through bound state solutions.

Contribution

It introduces a novel approach by incorporating Coulomb-type potentials into the Klein-Gordon oscillator via mass term modification, analyzing resulting bound states and quantum effects.

Findings

Bound state solutions for both attractive and repulsive potentials.

Quantum effect: angular frequency depends on quantum numbers.

Dependence of frequency on quantum numbers is demonstrated.

Abstract

By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown.