Non-Commutative Fock-Darwin System and Magnetic Field Limits  

作　　者：余晓敏 李康 

机构地区：[1]Academic Administration, Hangzhou Dianzi University, Hangzhou 310018 [2]Department of Physics, Hangzhou Normal University, Hangzhou 310036

出　　处：《Chinese Physics Letters》2008年第6期1980-1983,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10575026, and the Natural Science Foundation of Zhejiang Provence under Grant No Y607437.

摘　　要：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/ωe 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.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/ωe 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.

关 键 词：QUANTUM-MECHANICS M(ATRIX) THEORY AHARONOV-BOHM PHASE-SPACE SPECTRUM GEOMETRY BRANE PLANE 

分 类 号：O413.1[理学—理论物理]