| 一个含时谐振子的精确波函数和相干态 |
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| 引用本文： | 彭彦泽,彭松清,范天佑,孙应飞. 一个含时谐振子的精确波函数和相干态[J]. 北京理工大学学报(英文版), 2002, 11(1): 101-104 |
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| 作者姓名： | 彭彦泽 彭松清 范天佑 孙应飞 |
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| 作者单位： | 北京理工大学应用物理系 北京100081(彭彦泽，范天佑)，吉首车务段 湖南吉首416000(彭松清)，清华大学自动化系 北京100084(孙应飞) |
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| 摘 要： | 使用试探波函数方法首先获得一个含时谐振子的精确波函数 ,而后通过一个酉算子获得它的精确相干态 .这些相干态有时间独立振子的大多数但不是全部性质 .当质量和频率是常数而驱动又不存在时 ,获得的结果都可以退化到通常的结果 .
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| 关 键 词： | 谐振子 波函数 相干态 |
| 收稿时间： | 2001-05-31 |
Exact Wave Function and Coherent States for a Time-Dependent Harmonic Oscillator |
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| PENG Yan ze,PENG Song qing,FAN Tian you and SUN Ying fei. Exact Wave Function and Coherent States for a Time-Dependent Harmonic Oscillator[J]. Journal of Beijing Institute of Technology, 2002, 11(1): 101-104 |
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| Authors: | PENG Yan ze PENG Song qing FAN Tian you SUN Ying fei |
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| Affiliation: | Department of Applied Physics, Beijing Institute of Technology, Beijing100081, China;Jishou Railway Station, Jishou, Hunan416000, China;Department of Applied Physics, Beijing Institute of Technology, Beijing100081, China;Department of Automation, Tsing hua U niversity,Beijing 100084,China |
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| Abstract: | By using a trial wave function, the exact wave function for a harmonic oscillator with time? dependent mass, frequency, damping and driving is obtained. And then by defining a unitary operator, coherent states for the system of interest are found. These coherent states have most, but not all, of the properties the time independent oscillator. And all the results obtained can be reduced to the usual ones when both the mass and frequency are constants and the driving is absent. |
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| Keywords: | harmonic oscillator wave function coherent states |
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