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非对易空间中耦合谐振子的能级分裂
引用本文:王亚辉,王剑华,任亚杰,黄文登.非对易空间中耦合谐振子的能级分裂[J].原子核物理评论,2009,26(1):19-22.
作者姓名:王亚辉  王剑华  任亚杰  黄文登
作者单位:陕西理工学院物理系, 陕西 汉中 723001
基金项目:国家自然科学基金资助项目(10447005);;陕西省教育厅自然科学基础研究计划资助项目(07JK207);;陕西理工学院科研资助项目(SLG0521)~~
摘    要:非对易空间效应的出现引起了物理学界的广泛兴趣。 介绍了非对易空间中量子力学的代数关系,在所考虑的空间变量的对易关系中包含了坐标 坐标的非对易性, 并且把 Moyal-Weyl 乘法在非对易空间中通过一个Bopp变换转变成普通的乘法。 然后给出了非对易空间中耦合谐振子的能级分裂情况。 The effect of noncommutativity of space have caused the physical academic circles widespread interest. In this paper, the non commutative (NC) is introduced, which contain non commutative of coordinate coordinate, and find that the Moyal Weyl product in NC space can be replaced with a Bopp shift. Then, the energy splitting of the coupling harmonic oscillator in non commutative spaces are discussed.

关 键 词:非对易空间    耦合谐振子    能级分裂
收稿时间:1900-01-01

Energy Splitting of Coupling Harmonic Oscillator in Non-commutative Space
WANG Ya-hui,WANG Jian-hua,REN Ya-jie,HANG Wen-deng.Energy Splitting of Coupling Harmonic Oscillator in Non-commutative Space[J].Nuclear Physics Review,2009,26(1):19-22.
Authors:WANG Ya-hui  WANG Jian-hua  REN Ya-jie  HANG Wen-deng
Institution:Department of Physics, Shaanxi University of Technology, Hanzhong 723001, Shaanxi, China
Abstract:The effect of noncommutativity of space have caused the physical academic circles widespread interest.In this paper,the non-commutative(NC) is introduced,which contain non-commutative of coordinate-coordinate,and find that the Moyal-Weyl product in NC space can be replaced with a Bopp shift.Then,the energy splitting of the coupling harmonic oscillator in non-commutative spaces are discussed.
Keywords:non-commutative space  coupling harmonic oscillator  energy splitting  
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