非对易空间中二维类氢原子的塞曼效应(英文)Zeeman Effect of Two Dimensional Hydrogen-Like Atom on a Noncommutative Space
玉苏音·买苏木;沙依甫加马力·达吾来提;马凯;
摘要(Abstract):
本文讨论了磁场中的二维类氢原子在非对易空间中的能级.利用Bopp's变换和微扰论计算了二维类氢原子θ修正的哈密顿量以及相应的能量修正.本文结果表明能级简并度被坐标-坐标的非对易性和磁场解除.
关键词(KeyWords): 非对易空间;能级;类氢原子
基金项目(Foundation): Supported by the National Natural Science Foundation of China(10965006,11165014)
作者(Authors): 玉苏音·买苏木;沙依甫加马力·达吾来提;马凯;
参考文献(References):
- [1]Godfrey S,Doncheski M A.Signals for noncommutative QED in ey and yy collisions[J],Phys Rev D,2001,65:015005.
- [2]Haghighat M,Ettefaghi M M.Parton model in Lorentz invariant noncommutative space[J].Phys Rev D,2004,70:034017.
- [3]Devoto A,Chiara D S,Repko W W.Noncommutative QED corrections to e~+e~→γγγat linear collider energies[J].Phys Rev D,2005,72: 056006.
- [4]Calmet X.Quantum electrodynamics on noncommutative spacetime[J].Eur Phys J C,2007,50(1):113-116.
- [5]Chaichian M,Presnajder P,Sheikh-Jabbari M M,et al.Aharonov-Bohm effect in noncommutative spaces[J].Phys Lett B,2002,527(1-2): 149-154.
- [6]Falomir H,Gamboa J,Loewe M,et al.Testing spatial noncommutativity via the Aharonov-Bohm effect[J].Phys Rev D,2002,66:045018.
- [7]Li Kang,Dulat Sayipjamal.The Aharonov-Bohm effect in noncommutative quantum mechanics[J].Eur Phys J C,2006,46(3):825-828.
- [8]Harms B,Micu O.Noncommutative quantum Hall effect and Aharonov - Bohm effect[J].J Phys A,2007,40(33):10337.
- [9]Dulat Sayipjamal,Li Kang.Quantum Hall effect in noncommutative quantum mechanics[J].Eur Phys J C,2009,60(1):163-168.
- [10]Chakraborty B,Gangopadhyay S,Saha A.Seiberg-Witten map and Galilean symmetry violation in a noncommutative planar system[J].Phys Rev D,2004,70:107707.
- [11]Dayi O F,Elbistan M.Spin Hall effect in noncommutative coordinates[J].Phys Lett A,2009,373(15):1314-1320.
- [12]Ma Kai,Dulat Sayipjamal.Spin Hall effect on a noncommutative space[J].Phys Rev A,2011,84:012104.
- [13]Dulat Sayipjamal,Li Kang.Landau problem in noncommutative quantum mechanics[J].Chin Phys C,2008,32(2):92-95.
- [14]Chaichian M,Sheikh-Jabbari M M,Tureanu A.Hydrogen atom spectrum and the Lamb shift in noncommutative QED[J].Phys Rev Lett,2001, 86(13):2716-2719.
- [15]Li Kang,Chamoun N.Hydrogen atom spectrum in noncommutative phase space[J].Chin Phys Lett,2006,23(5):1122-1123.
- [16]Haghighat M,Loran F.Three body bound state in noncommutative space[J].Phys Rev D,2003,67(9):096003.
- [17]Adomo T C,Baldiotti M C,Chaichian M,et al.Dirac equation in noncommutative space for hydrogen atom[J].Phys Lett B,2009,682: 235-239.
- [18]Li Kang,Wang Jianhua,Chen Chiyi.Representation of noncommutative phase space[J].Mod Phys Lett A,2005,20(28):2165-2174.
- [19]曾谨言.量子力学卷Ⅰ(第四版)[M].北京:科学出版社,2007.
- [20]Griffiths D J.Introduction to quantum mechanics[M].New Jersey:Prentice Hall,1995.