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

Abstract

In this paper, we study the relativistic scalar particle described by the Klein–Gordon equation that 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 parameter [Formula: see text] and oscillator frequency [Formula: see text], and the potential parameter [Formula: see text] on the energy eigenvalues of the considered systems.