| 三维各向异性耦合谐振子哈密顿量的对角化 |
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| 引用本文： | 冯进,凌瑞良. 三维各向异性耦合谐振子哈密顿量的对角化[J]. 大学物理, 2011, 30(3): 14-18 |
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| 作者姓名： | 冯进 凌瑞良 |
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| 作者单位： | 1. 常熟理工学院数学与统计学院,江苏常熟,215500
2. 常熟理工学院物理与电子工程学院,江苏常熟,215500 |
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| 摘 要： | 根据物理量的可测实在性,应用二次型理论,一般地解决了3个质量与3个频率均不相同、坐标和动量各自具有全耦合谐振子系统的哈密顿量的可对角化问题,并具体给出了哈密顿量对角化的标准形.
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| 关 键 词： | 各向异性 耦合谐振子 哈密顿量 二次型 对角化 |
Diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator |
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| FENG Jin,LING Rui-liang. Diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator[J]. College Physics, 2011, 30(3): 14-18 |
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| Authors: | FENG Jin LING Rui-liang |
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| Affiliation: | FENG Jin1,LING Rui-liang2(1.School of Mathematics and Statistics,Changshu lnstitute of Technology,Changshu,Jiangsu 215500,China,2.School of Physics & Electronic Engineering,Changshu Institute of Technology,China) |
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| Abstract: | By means of the mensurability of physical quantity and the quadratic form theory,a general method of diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator is proposed,and the Hamiltonian diagonal standard form is given. |
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| Keywords: | anisotropic coupled harmonic oscillator Hamiltonian quadratic form theory diagonalization |
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