| 非对易空间的三模谐振子能谱 |
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| 引用本文： | 张秀兰,刘恒,余海军,张文海.非对易空间的三模谐振子能谱[J].物理学报,2011,60(4):40303-040303. |
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| 作者姓名： | 张秀兰 刘恒 余海军 张文海 |
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| 作者单位： | (1)淮南师范学院数学与计算科学系,淮南 232001; (2)淮南师范学院物理与电子信息系,淮南 232001 |
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| 基金项目： | 安徽省高校自然科学基金(批准号:KJ2010B204)资助的课题. |
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| 摘 要： | 在非对易空间中,用不变本征算符方法(IEO),对非耦合、坐标耦合、动量耦合三种三模谐振子系统能谱进行求解,并将求解结果与一般对易空间的能谱进行比较分析.通过比较发现,当非对易参数为零时,所求能级差还原到了与普通空间相对应的一般量子系统哈密顿量能级差,验证了推导结果的正确性;同时讨论了耦合系数对非对易空间能谱的影响.
关键词：
不变本征算符
非对易空间
三模谐振子能谱
能级差
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| 关 键 词： | 不变本征算符 非对易空间 三模谐振子能谱 能级差 |
| 收稿时间： | 2010-07-22 |
| 修稿时间： | 8/6/2010 12:00:00 AM |
Hamiltonian spectrum for three coupled harmonic oscillators in non-commutative space |
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| Zhang Xiu-Lan,Liu Heng,Yu Hai-Jun,Zhang Wen-Hai.Hamiltonian spectrum for three coupled harmonic oscillators in non-commutative space[J].Acta Physica Sinica,2011,60(4):40303-040303. |
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| Authors: | Zhang Xiu-Lan Liu Heng Yu Hai-Jun Zhang Wen-Hai |
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| Institution: | Department of Physics and Electronic Information, Huainan Normal University, Huainan 232001, China;Department of Mathematics and Computer Science, Huainan Normal University, Huainan 232001, China;Department of Physics and Electronic Information, Huainan Normal University, Huainan 232001, China;Department of Physics and Electronic Information, Huainan Normal University, Huainan 232001, China |
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| Abstract: | In non-commutative spaces the invariant eigen-operator method is used to derive and calculate Hamiltonian spectra for three kinds of three coupled harmonic oscillators: no coupling, coordinate coupling and momentum coupling. According to the comparison with the results in commutative space, it is shown that when the non-commutative parameter is zero the obtained energy levels are equal to the energy levels in commutative space. Finally the effect of the coupling coefficient on Hamiltonian spectrum in non-commutative space is discussed. |
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| Keywords: | invariant eigen-operator method non-commutation spaces Hamiltonian spectrum for three coupled harmonic oscillators the energy levels |
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