中国物理B ›› 2006, Vol. 15 ›› Issue (10): 2236-2239.doi: 10.1088/1009-1963/15/10/008

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Heisenberg algebra for noncommutative Landau problem

曹小华1, 汪东燕1, 李　康2   

  1. (1)Department of Physics, Hangzhou Teachers' College,Hangzhou 310036, China; (2)Department of Physics, Hangzhou Teachers' College,Hangzhou 310036, China;Zhejiang University City College, Hangzhou 310015,China
  • 收稿日期:2005-10-10 修回日期:2006-05-24 出版日期:2006-10-20 发布日期:2006-10-20
  • 基金资助:
    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).

Heisenberg algebra for noncommutative Landau problem

Li Kang(李康)a), Cao Xiao-Hua(曹小华)a)b), and Wang Dong-Yan(汪东燕)a)   

  1. a Department of Physics, Hangzhou Teachers' College, Hangzhou 310036, China; b Zhejiang University City College, Hangzhou 310015, China
  • Received:2005-10-10 Revised:2006-05-24 Online:2006-10-20 Published:2006-10-20
  • Supported by:
    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).

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摘要： 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.

关键词: non-commutative quantum mechanics, Landau problem, Heisenberg algebra

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.

Key words: non-commutative quantum mechanics, Landau problem, Heisenberg algebra

中图分类号:  (Algebraic methods)

  • 03.65.Fd
02.40.Gh (Noncommutative geometry)