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.
Received: 29 December 2008
Revised: 11 May 2009
Accepted manuscript online:
Fund: 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).
Cite this article:
Yu Xiao-Min(余晓敏) and Li Kang(李康) Non-commutative Fock-- Darwin system and its magnetism properties 2009 Chin. Phys. B 18 3670
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