Feshbach–Villars oscillator in Kaluza-Klein theory

Abstract

This research focuses on exploring the relativistic quantum dynamics of spin-0 scalar massive charged particles within the framework of the relativistic Feshbach-Villars oscillator (FVO) in the context of the Kaluza-Klein Theory (KKT). Specifically, we investigate the behavior of these particles in the presence of a cosmic string space-time within the framework of the Kaluza-Klein theory. To begin, we solve the Feshbach-Villars equation in the background of a cosmic string space-time by considering the principles of the Kaluza-Klein theory. We obtain the eigenvalue solution, which provides valuable insights into the behavior of the system. Next, we re-examine this system by considering the Feshbach-Villars quantum oscillator, a specific mathematical representation of the Feshbach-Villars equation. By employing this oscillator, we are able to analytically determine the eigenvalues of the system. This analytical solution allows for a deeper understanding of the system's characteristics. In the subsequent stage, we investigate the interaction between the Feshbach-Villars equation and oscillator in the presence of a cosmic dislocation within the framework of the Kaluza-Klein Theory. We analytically solve the wave equation associated with this system, shedding light on the behavior of the wave function. Furthermore, we analyze the influence of the topological defect (cosmic dislocation) on the quantification of energy and the wave function of the Feshbach-Villars oscillator. We also explore the impact of external fields on the system. These analyses provide valuable insights into how these factors affect the behavior and properties of the Feshbach-Villars oscillator.