| 一维含时受迫阻尼量子谐振子的严格解 |
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| 引用本文： | 曲建涛,徐秀玮,秦悦凯.一维含时受迫阻尼量子谐振子的严格解[J].鲁东大学学报,2012(3):235-241. |
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| 作者姓名： | 曲建涛 徐秀玮 秦悦凯 |
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| 作者单位： | 鲁东大学物理与光电工程学院 |
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| 摘 要： | 运用广义线性量子变换普遍理论求解一维含时受迫阻尼谐振子，给出了系统演化算符、传播子、波函数的严格表达式，研究了坐标和动量的期望值和量子涨落，结果表明阻尼谐振子对于坐标和动量都有压缩效应，阻尼越强压缩效应越强．
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| 关 键 词： | 受迫阻尼谐振子 线性量子变换 压缩效应 |
Rigorous Solution of One-dimensional Time-dependent Forced Damped Quantum Harmonic Oscillator |
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| QU Jian-tao,XU Xiu-wei,QIN Yue-kai.Rigorous Solution of One-dimensional Time-dependent Forced Damped Quantum Harmonic Oscillator[J].Ludong University Journal (Natural Science Edition),2012(3):235-241. |
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| Authors: | QU Jian-tao XU Xiu-wei QIN Yue-kai |
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| Institution: | (School of Physics and Optoelectronic Engineering,Ludong University,Yantai 264039,China) |
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| Abstract: | The generalized linear quantum transformation theory is used to solve one-dimensional forced damped harmonic oscillator.The rigorous expressions of the system evolution operator,the propagator and wave function are given,and the expected value and quantum fluctuation of coordinate and momentum are calculated.The results show that the damped harmonic oscillator have a compression effect to coordinate and momentum,and the stronger the damping,the stronger the compression effect. |
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| Keywords: | forced damped harmonic oscillator linear quantum transformation squeezing effect |
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