Heisenberg algebra for noncommutative Landau problem

被引:0
作者
Li Kang [1 ]
Cao Xiao-Hua
Wang Dong-Yan
机构
[1] Hangzhou Teachers Coll, Dept Phys, Hangzhou 310036, Peoples R China
[2] Zhejiang Univ City Coll, Hangzhou 310015, Peoples R China
来源
CHINESE PHYSICS | 2006年 / 15卷 / 10期
关键词
non-commutative quantum mechanics; Landau problem; Heisenberg algebra;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
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.
引用
收藏
页码:2236 / 2239
页数:4
相关论文
共 19 条
[1]   Hydrogen atom spectrum and the Lamb shift in noncommutative QED [J].
Chaichian, M ;
Sheikh-Jabbari, MM ;
Tureanu, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (13) :2716-2719
[2]   Aharonov-Bohm effect in noncommutative spaces [J].
Chaichian, M ;
Presnajder, P ;
Sheikh-Jabbari, MM ;
Tureanu, A .
PHYSICS LETTERS B, 2002, 527 (1-2) :149-154
[3]   Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects [J].
Chaichian, M ;
Demichev, A ;
Presnajder, P ;
Sheikh-Jabbari, MM ;
Tureanu, A .
NUCLEAR PHYSICS B, 2001, 611 (1-3) :383-402
[4]   Noncommutative quantum mechanics and rotating frames [J].
Christiansen, HR ;
Schaposnik, FA .
PHYSICAL REVIEW D, 2002, 65 (08) :860051-860057
[5]   Non-commutative open string and D-brane [J].
Chu, CS ;
Ho, PM .
NUCLEAR PHYSICS B, 1999, 550 (1-2) :151-168
[6]  
CONNES A, 1998, HEP, V3
[7]  
Douglas M.R., 1998, JHEP, V008, P9802
[8]   Testing spatial noncommutativity via the Aharonov-Bohm effect -: art. no. 045018 [J].
Falomir, H ;
Gamboa, J ;
Loewe, M ;
Méndez, F ;
Rojas, JC .
PHYSICAL REVIEW D, 2002, 66 (04)
[9]  
GUBSER SS, 2001, JHEP, V41
[10]   The noncommutative harmonic oscillator in more than one dimension [J].
Hatzinikitas, A ;
Smyrnakis, I .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (01) :113-125