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Lan Zhong

Publications and source records attributed to Lan Zhong.

2 recordsLinked to original sources
arXiv2021

Analysis of the Dirac equation with the Killingbeck potential in non-commutative space

In this paper, we investigate the Dirac equation with the Killingbeck potential under the external magnetic field in non-commutative space. Corresponding to the expressions of the energy level and wave functions in spin symmetry limit and pseudo-spin symmetry limit are derived by using the Bethe ansatz method. The parameter B associated with the external magnetic field and non-commutative parameter θ make to modify the energy level for considered systems.

hep-th↗
arXiv2021

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

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.

quant-ph↗