| 关于最小不确定态的概率分布 |
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| 引用本文： | 张学龙,张国英.关于最小不确定态的概率分布[J].光子学报,1999,28(9):769-774. |
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| 作者姓名： | 张学龙 张国英 |
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| 作者单位： | 中国矿业大学数理系,徐州,221008 |
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| 摘 要： | 本文借助于曲线坐标下动量算符的一种厄密形式,导出了广义坐标算符和广义动量算符的最小不确定态,并结合常见坐标分量取不同上、下限的情况讨论相应的概率分布,进而得到有关的结论.
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| 关 键 词： | 共轭算符 高斯分布 均方偏差 最小不确定态 |
| 收稿时间： | 1999-05-25 |
| 修稿时间： | 1999-05-25 |
ON THE PROBABILITY DISTRIBUTION OF THE MINIMUM UNCERTAINTY STATES |
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| Zhang Xuelong,Zhang Guoyin.ON THE PROBABILITY DISTRIBUTION OF THE MINIMUM UNCERTAINTY STATES[J].Acta Photonica Sinica,1999,28(9):769-774. |
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| Authors: | Zhang Xuelong Zhang Guoyin |
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| Institution: | Department of Mathematics and Mechanics, China University of Mining &; Technology, Xuzhou, Jiangsu 221008 |
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| Abstract: | The minimum uncertainty states (MUSs) corresponding to the generalized momentum and coordinates operators are derived by using the generalized Hermitian expression of the momentum operator in curvilinear coordinates The several probability distributions of MUSs are discussed according to different upper and lower limits of the usual coordinate components,and the relevant conclusions are drawn in this paper |
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| Keywords: | Conjugate operator Gaussian distribution Meansquare deviation Minimum uncertainty state |
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