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

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.