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arXiv · 2101.08406

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

Lan Zhong·Hao Chen·Qi-Kang Ran·Chao-Yun Long·Zheng-Wen Long
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Abstract

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 {\theta} make to modify the energy level for considered systems.

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Lan Zhong, Hao Chen, Qi-Kang Ran, Chao-Yun Long, Zheng-Wen Long. 2021-01-21. Analysis of the Dirac equation with the Killingbeck potential in non-commutative space. https://arxiv.org/abs/2101.08406

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