| 含时阻尼谐振子的量子不变量算符及其本征值和本征函数 |
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| 引用本文： | 凌瑞良. 含时阻尼谐振子的量子不变量算符及其本征值和本征函数[J]. 常熟理工学院学报, 2005, 19(4): 35-39 |
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| 作者姓名： | 凌瑞良 |
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| 作者单位： | 常熟理工学院,物理系,江苏,常熟,215500 |
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| 摘 要： | 在适当的正则变换下，使含时阻尼谐振子纳入量子化轨道，并以此找到含时阻尼谐振子的不变量算符、不变量算符的本征值和本征函数。
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| 关 键 词： | 含时阻尼 谐振子 量子不变量 Lewis相 |
| 文章编号： | 1008-2794（2005）04-0035-05 |
| 收稿时间： | 2005-06-05 |
| 修稿时间： | 2005-06-05 |
Quantum invariant eigenvalue and eigen function of quantum invariant operator of time-dependent damped harmonic oscilator |
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| LING Rui-liang. Quantum invariant eigenvalue and eigen function of quantum invariant operator of time-dependent damped harmonic oscilator[J]. Journal of Changshu Institute of Technology, 2005, 19(4): 35-39 |
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| Authors: | LING Rui-liang |
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| Affiliation: | Dept. of Physics, Changshu Institute of Technology, Changshu 215500, China |
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| Abstract: | By means of canonical transformation, a direct quantization scheme is found for a harmomic oscillator whose damping coefficient is time-dependent, the quantum invariant eigenvalue and eigen function of a damped harmonic oscillator with time-dependent damping coefficient are obtained. |
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| Keywords: | eigenvalue eigenfunction Quantum invariant Time-dependent damped coefficient Lewis-Riesenfeld Phase |
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