Behavior of the Feshbach-Villars Oscillator in Gürses space-time under Coulomb-type potential
DOI:
https://doi.org/10.31349/RevMexFis.72.020801Abstract
This study investigates the impact of gravitational fields on the spectroscopic structure of the Feshbach-Villars oscillator (FVO) within Gürses space-time. Utilizing the first-order Feshbach-Villars formulation of the Klein-Gordon equation, which describes relativistic wave dynamics for spinless particles, we analyze the quantum mechanical properties of the oscillator under a Coulomb-type potential. The corresponding wave functions and energy levels are derived for both free and interacting cases. Furthermore, we explore the effects of the interaction between the Coulomb-type potential and Gürses space-time on the behavior of the Feshbach-Villars oscillator, particularly in relation to its spectroscopic characteristics. This research provides valuable insights into the intricate relationship between quantum mechanics, relativity, and gravitational fields at the microscopic level.
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