2021/01/16 by Lan Zhong, Hao Chen, Hassan Hassanabadi +4 · 15 citations
Physics and Astronomy · #Context (archaeology) #Eigenvalues and eigenvectors #Klein–Gordon equation #Mathematical physics #Nonlinear Photonic Systems #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar potential #quant-ph
paper · pdf · doi:10.1142/s0217751x21501293
published in International Journal of Modern Physics A 36(20), 2150129 (World Scientific) · 7 pages, 6 figures
arxiv created 2021/01/16 · openalex created_date 2021/02/01 · openalex publication_date 2021/07/14 · arxiv updated 2021/08/25 · openalex updated_date 2026/08/05
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.