The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
arXiv:2101.06356 · doi:10.1142/S0217751X21501293
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 α and oscillator frequency ω, and the potential parameter ξ2 on the energy eigenvalues of the considered systems.
arXiv comment7 pages, 6 figures
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