Abstract The Landau problem on non-commutative quantum mechanics is studied, where the Heisenberg algebra and the Landau energy levels as well as the non-commutative angular momentum are constructed in detail in non-commutative space and non-commutative phase space respectively.
Received: 10 October 2005
Revised: 24 May 2006
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant Nos 90303003 and
10575026) and the Natural
Science Foundation of Zhejiang Province, China
(Grant No M103042).
Cite this article:
Li Kang(李康), Cao Xiao-Hua(曹小华), and Wang Dong-Yan(汪东燕) Heisenberg algebra for noncommutative Landau problem 2006 Chinese Physics 15 2236
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