非对易相空间中各向同性带电谐振子能级的研究(英文)  

The energy levels of the charged isotropic harmonic oscillator in the non-commutative phase space

作　　者：杨祖华[1,2] 龙超云 田仁军[2] 

机构地区：[1]贵州大学理学院物理系,贵阳550025 [2]贵阳市第一中学,贵阳550081

出　　处：《四川大学学报（自然科学版）》2009年第6期1728-1732,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(60666001);贵州省优秀科技青年计划培养基金(2002No.2013)

摘　　要：在坐标非对易和动量非对易的情况下,对非对易相空间中各向同性带电谐振子在电场中的能级进行了研究,通过相空间坐标的平移,得到了三维非对易相空间中各向同性带电谐振子在电场中的能级的表达式.最后,对得到的能级进行了非对易空间和对易极限两种特殊情况的讨论,讨论的结果表明,得到的能级在理论上更具有普遍意义.The charged isotropic harmonic oscillator in the electric field is studied in the non-commutative phase space which contains both the spatial non-commutativity and momentum non-commutativity.By translating of phase space coordinates,the energy levels of this model in the 3-dimensional non-commutative phase space are obtained.Finally,two specially cases for η=0 and for commutative limit are briefly discussed.It is found that these results reduce to those results of non-commutative space and usually commutative space.

关 键 词：非对易相空间 各向同性 带电谐振子 能级 phase space HARMONIC OSCILLATOR levels results electric field 非对易空间 空间坐标 讨论 电场 表达式 energy model found 三维 平移 理论 

分 类 号：N55[自然科学总论]