| 三维各向异性耦合谐振子体系的量子化能谱与精确波函数 |
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| 引用本文： | 凌瑞良,冯进,冯金福. 三维各向异性耦合谐振子体系的量子化能谱与精确波函数[J]. 物理学报, 2010, 59(12): 8348-8358 |
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| 作者姓名： | 凌瑞良 冯进 冯金福 |
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| 作者单位： | (1)常熟理工学院数学与统计学院,常熟 215500; (2)常熟理工学院物理与电子工程学院,常熟 215500 |
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| 基金项目： | 江苏省自然科学基金(批准号: 06KJB140001)资助的课题. |
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| 摘 要： | 利用二次型理论,通过三次保对易的辛变换,成功解决了三维各向异性耦合谐振子哈密顿量的对角化问题.进一步,给出了体系的量子化能谱和精确波函数.
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| 关 键 词： | 各向异性 对角化 保对易 正交矩阵 |
| 收稿时间： | 2009-10-06 |
Quantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator |
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| Ling Rui-Liang,Feng Jin,Feng Jin-Fu. Quantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator[J]. Acta Physica Sinica, 2010, 59(12): 8348-8358 |
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| Authors: | Ling Rui-Liang Feng Jin Feng Jin-Fu |
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| Affiliation: | School of Physics and Electronic Engineering, Changshu Institute of Technology, Changshu 215500, China;School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China;School of Physics and Electronic Engineering, Changshu Institute of Technology, Changshu 215500, China |
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| Abstract: | By the quadratic form theory, we succeed in diagonalizing the Hamiltonian for three-dimensional anisotropic coupled harmonic oscillators, through three symplectic transformations keeping the commutation relations unchanged. The quantized energy spectrum and the exact wave function of the system are given. |
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| Keywords: | anisotropy diagonalization maintain the commutation relation orthogonal matrix |
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