Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces

doi:10.1088/1674-1056/ac05ab

中国物理B ›› 2021, Vol. 30 ›› Issue (11): 110307-110307.doi: 10.1088/1674-1056/ac05ab

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

收稿日期:2021-04-16 修回日期:2021-05-18 接受日期:2021-05-27 出版日期:2021-10-13 发布日期:2021-11-03
通讯作者: Jian Jing E-mail:jingjian@mail.buct.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11465006).

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

Received:2021-04-16 Revised:2021-05-18 Accepted:2021-05-27 Online:2021-10-13 Published:2021-11-03
Contact: Jian Jing E-mail:jingjian@mail.buct.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11465006).

摘要/Abstract

摘要： 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.

关键词: Dirac oscillator, anti-Jaynes-Cummings model, Jaynes-Cummings model, supersymmetry

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.

Key words: Dirac oscillator, anti-Jaynes-Cummings model, Jaynes-Cummings model, supersymmetry

中图分类号: (Algebraic methods)

03.65.Fd

03.65.Pm (Relativistic wave equations) 42.50.-p (Quantum optics)

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[J]. 中国物理B, 2021, 30(11): 110307-110307.

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[J]. Chin. Phys. B, 2021, 30(11): 110307-110307.

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Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces

Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces

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