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Non-Commutative Fock--Darwin System and Magnetic Field Limits |
| YU Xiao-Min1;LI Kang2 |
| 1Academic Administration, Hangzhou Dianzi University, Hangzhou 3100182Department of Physics, Hangzhou Normal University, Hangzhou 310036 |
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YU Xiao-Min, LI Kang 2008 Chin. Phys. Lett. 25 1980-1983 |
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Abstract A Fock--Darwin system in noncommutative quantum mechanics is studied. By constructing Heisenberg algebra we obtain the levels on noncommutative space and noncommutative phase space, and give the corrections to the results in usual quantum mechanics. Moreover, to search the difference among the three spaces, the degeneracy is analysed by two ways, the value
of ω/ωc and certain algebra realization (SU(2)and SU(1,1)), and some interesting properties in the magnetic field limit are exhibited, such as totally different degeneracy and magic number distribution for the given frequency or mass of a system in strong magnetic field.
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| Keywords:
11.10.Nx
03.65.-w
02.40.Gh
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Received: 10 December 2007
Published: 31 May 2008
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