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

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

Jan 15, 2021

7 pages

Published in:

Int.J.Mod.Phys.A 36 (2021) 20, 2150129

Published: Jul 14, 2021

e-Print:

2101.06356 [quant-ph]

DOI:

10.1142/S0217751X21501293

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Abstract: (WSP)

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 α and oscillator frequency ω, and the potential parameter ξ2 on the energy eigenvalues of the considered systems.

Note:

7 pages, 6 figures

Klein–Gordon oscillator
Som–Raychaudhuri space–time
biconfluent Heun function equation
Coulomb potential
03.65.Pm
98.80.Cq
03.65.Ge
11.27.+d

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