Analytical Solution of the PDM-Coulombic Klein-Gordon Oscillator in Kaluza-Klein Theory

TL;DR

This paper analytically solves the relativistic quantum Klein-Gordon oscillator with position-dependent mass within Kaluza-Klein theory, revealing influences from curvature, torsion, quantum flux, and mass modifications on the system's eigensolutions.

Contribution

It provides an exact analytical solution for the PDM Klein-Gordon oscillator in Kaluza-Klein theory, incorporating effects of extra-dimensional flux and mass variation.

Findings

Eigenvalues depend on curvature, torsion, and quantum flux.

Mass modification affects the eigensolutions.

Analytical expressions for the system's eigenstates are derived.

Abstract

In this contribution, the relativistic quantum motions of the position-dependent mass (PDM) oscillator field with a scalar potential in the context of the Kaluza-Klein theory is investigated. Through a purely analytical analysis, the eigensolutions of this system have been obtained. The results showed that the KGO is influenced not only by curvature, torsion and the quantum flux associated with the extra dimension, but also by the possibility of modifying the mass term of the Klein-Gordon equation.