Behavior of the Feshbach-Villars oscillator (FVO) in Gürses space-time under Coulomb-type potential

Abstract

Our research aims to investigate how the gravitational field influences the spectroscopic structure of the Feshbach-Villars oscillator in Gürses space-time. To achieve this, we utilize the first-order Feshbach-Villars version of the Klein-Gordon equation, which is a relativistic wave equation for spinless particles. We examine the oscillator's quantum mechanical behavior in the presence of a Coulomb-type potential, and calculate the resulting wave functions and energy levels for both free and interacting scenarios. In addition, we study the interaction between the Coulomb-type potential and Gürses space-time affects the Feshbach-Villars oscillator's behavior, specifically with regard to its spectroscopic structure. This study has important implications for our understanding of the interplay between quantum mechanics, relativity, and gravitational fields at the microscopic level.

arXiv admin note: substantial text overlap with arXiv:2302.13805