中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3670-3676.doi: 10.1088/1674-1056/18/9/011

• GENERAL • 上一篇    下一篇

Non-commutative Fock-- Darwin system and its magnetism properties

余晓敏1, 李康2   

  1. (1)Dean Office, Hangzhou Dianzi University, Hangzhou 310018, China; (2)Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • 收稿日期:2008-12-29 修回日期:2009-05-11 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575026 and 10875035) and the Natural Science Foundation of Zhejiang Province, China (Grant No Y607437).

Non-commutative Fock-- Darwin system and its magnetism properties

Yu Xiao-Min(余晓敏)a)† and Li Kang(李康)b)‡   

  1. a Dean Office, Hangzhou Dianzi University, Hangzhou 310018, China; b Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • Received:2008-12-29 Revised:2009-05-11 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575026 and 10875035) and the Natural Science Foundation of Zhejiang Province, China (Grant No Y607437).

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摘要： The Fock--Darwin system is studied in noncommutative quantum mechanics. We not only obtain its energy eigenvalues and eigenstates in noncommutative phase space, but also give an electron orbit description as well as the general expressions of the magnetization and the susceptibility in a noncommutative situation. Further, we discuss two particular cases of temperature and present some interesting results different from those obtained from usual quantum mechanics such as the susceptibility dependent on a magnetic field at high temperatures, the occurrence of the magnetization in a zero magnetic field and zero temperature limit, and so on.

Abstract: The Fock--Darwin system is studied in noncommutative quantum mechanics. We not only obtain its energy eigenvalues and eigenstates in noncommutative phase space, but also give an electron orbit description as well as the general expressions of the magnetization and the susceptibility in a noncommutative situation. Further, we discuss two particular cases of temperature and present some interesting results different from those obtained from usual quantum mechanics such as the susceptibility dependent on a magnetic field at high temperatures, the occurrence of the magnetization in a zero magnetic field and zero temperature limit, and so on.

Key words: Landau diamagnetism, space--space non-commutativity, momentum--momentum non-commutativity

中图分类号:  (Algebraic methods)

  • 03.65.Fd
02.10.Ud (Linear algebra) 03.65.Ge (Solutions of wave equations: bound states)