English

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

High Energy Physics - Theory 2021-01-22 v1

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.

Keywords

Cite

@article{arxiv.2101.08406,
  title  = {Analysis of the Dirac equation with the Killingbeck potential in non-commutative space},
  author = {Lan Zhong and Hao Chen and Qi-Kang Ran and Chao-Yun Long and Zheng-Wen Long},
  journal= {arXiv preprint arXiv:2101.08406},
  year   = {2021}
}

Comments

8 pages, 6 figures