The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time

TL;DR

This paper investigates the behavior of the Klein-Gordon oscillator in Som-Raychaudhuri space-time, analyzing effects of magnetic fields, potentials, and parameters on energy levels using special functions.

Contribution

It introduces a detailed analysis of the generalized Klein-Gordon oscillator in a specific curved space-time, including Coulomb potential effects and Aharonov-Bohm analogues.

Findings

Energy eigenvalues depend on parameters {eta} and { u}.

The Coulomb potential modifies the energy spectrum.

The Aharonov-Bohm effect is observed in this context.

Abstract

In this paper we study the relativistic scalar particle described by the Klein-Gordon interacts with the uniform magnetic field in the context of the Som-Raychaudhuri space-time. Based on the property of the biconfluent Heun function equation, the corresponding Klein-Gordon oscillator and generalized Klein-Gordon oscillator under considering the Coulomb potential are separately investigated, and the analogue of the Aharonov-Bohm effect is analyzed in this scenario. On this basis, we also give the influence of different parameters including the parameter {\alpha} and oscillator frequency {\omega}, and the potential parameter {\xi}2 on the energy eigenvalues of the considered systems.