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Fractional angular momentum in noncommutative generalized Chern-Simons quantum mechanics

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Abstract.

The noncommutative generalized Chern-Simons quantum mechanics, i.e., the Chern-Simons quantum mechanics on the noncommutative plane in the presence of Aharonov-Bohm magnetic vector potentials, is studied in this paper. We focus our attention on the canonical orbital angular momentum and show that there are two different approaches to produce the fractional angular momentum in the noncommutative generalized Chern-Simons quantum mechanics.

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Authors and Affiliations

  1. School of Science, Beijing University of Chemical Technology, 100029, Beijing, China

    Xi-Lun Zhang, Yong-Li Sun & Jian Jing

  2. College of Physics Science and Technology, XinJiang University, 830046, Urumqi, China

    Qing Wang

  3. Laboratory for photoelectric technology and application, Department of Physics, GuiZhou University, 550025, GuiYang, China

    Zheng-Wen Long

Authors
  1. Xi-Lun Zhang
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  2. Yong-Li Sun
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  3. Qing Wang
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  4. Zheng-Wen Long
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  5. Jian Jing
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Correspondence to Jian Jing.

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Zhang, XL., Sun, YL., Wang, Q. et al. Fractional angular momentum in noncommutative generalized Chern-Simons quantum mechanics. Eur. Phys. J. Plus 131, 229 (2016). https://doi.org/10.1140/epjp/i2016-16229-9

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  • DOI: https://doi.org/10.1140/epjp/i2016-16229-9

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