| 氢原子相干态 |
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| 引用本文： | 许伯威,曾祺.氢原子相干态[J].物理学报,1991,40(8):1212-1216. |
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| 作者姓名： | 许伯威 曾祺 |
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| 作者单位： | 上海交通大学物理系,上海,200030 |
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| 摘 要： | 由Kustannheimo-Stiefel变换,可将量子力学中的氢原子问题化为带有约束条件的四维各向同性谐振子。在此基础上定义相干态,并证明力学量坐标和动量对相干态的平均,给出经典开普勒运动轨道。同时也讨论该相干态中的测不准关系式。
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| 关 键 词： | 氢原子 相干态 量子力学 |
| 收稿时间： | 9/7/1990 12:00:00 AM |
COHERENT STATES OF HYDROGEN ATOM |
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| XU BO-WEI and ZENG QI.COHERENT STATES OF HYDROGEN ATOM[J].Acta Physica Sinica,1991,40(8):1212-1216. |
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| Authors: | XU BO-WEI and ZENG QI |
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| Abstract: | From Kustannheimo-Stiefel transformation, the hygrogen problem in quantum mechanics can be transformed to that of a four dimensional isotropic harmonic oscillator with constrain. The coherent states are defined, for which the expectation values of the position and the momentum are shown to give the classical Kepler orbits. The uncertainty relations for the coherent states are discussed as well. |
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