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

• URL: http://arxiv.org/abs/2101.06356v1
• Date: Sat, 16 Jan 2021 03:01:31 GMT
• Title: The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• Authors: Lan Zhong, Hao Chen, Hassan Hassanabadi, Zheng-Wen Long and Chao-Yun Long
• Abstract summary: 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.
• Score: 4.4024849048292705
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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