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Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces |
| Jing-Ying Wei(魏静莹)1, Qing Wang(王青)2, and Jian Jing(荆坚)1,† |
1 Department of Physics and Electronic, Beijing University of Chemical Technology, Beijing 100029, China;
2 College of Physics and Technology, Xinjiang University, Urumqi 830046, China |
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Abstract The supersymmetric properties of a charged planar Dirac oscillator coupling to a uniform perpendicular magnetic field are studied. We find that there is an N=2 supersymmetric structure in both commutative and noncommutative cases. We construct the generators of the supersymmetric algebras explicitly and show that the generators of the supersymmetric algebras can be mapped onto ones which only contain the left or right-handed chiral phonons by unitary transformations.
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Received: 16 April 2021
Revised: 18 May 2021
Accepted manuscript online: 27 May 2021
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PACS:
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03.65.Fd
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(Algebraic methods)
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03.65.Pm
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(Relativistic wave equations)
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42.50.-p
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(Quantum optics)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11465006). |
Corresponding Authors:
Jian Jing
E-mail: jingjian@mail.buct.edu.cn
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Cite this article:
Jing-Ying Wei(魏静莹), Qing Wang(王青), and Jian Jing(荆坚) Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces 2021 Chin. Phys. B 30 110307
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