https://doi.org/10.1140/epjp/i2016-16229-9
Regular Article
Fractional angular momentum in noncommutative generalized Chern-Simons quantum mechanics
1
School of Science, Beijing University of Chemical Technology, 100029, Beijing, China
2
College of Physics Science and Technology, XinJiang University, 830046, Urumqi, China
3
Laboratory for photoelectric technology and application, Department of Physics, GuiZhou University, 550025, GuiYang, China
* e-mail: jingjian@mail.buct.edu.cn
Received:
3
March
2016
Revised:
21
April
2016
Accepted:
31
May
2016
Published online:
6
July
2016
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
