| 有限维空间谐振子量子态的圈表示 |
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| 引用本文： | 申建伟,王发伯.有限维空间谐振子量子态的圈表示[J].湖南师范大学自然科学学报,1997,20(1):22-25. |
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| 作者姓名： | 申建伟 王发伯 |
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| 作者单位： | 湖南师范大学物理学系 |
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| 摘 要： | 在深入研究有限维空谐振子量子态的解析表示的基础上，利用有限维空间相干态的方法获得了任意量子态的圈表示。把任意量子态表示为复平面上沿一个半径为Ｒ的圆的路径积分，找到了量子态的解析表示和圈表示之间的关系。表明圈表示可以通过对解析表示的直接积分得到。
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| 关 键 词： | 谐振子 量子态 围道积分 有限维空间 圈表示 |
Circle Representation of Quantum States of a Harmonic Oscillator in a Finite Dimensional Space |
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| Shen Jianwei,Wang Fabo.Circle Representation of Quantum States of a Harmonic Oscillator in a Finite Dimensional Space[J].Journal of Natural Science of Hunan Normal University,1997,20(1):22-25. |
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| Authors: | Shen Jianwei Wang Fabo |
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| Abstract: | In this paper,a circle representation of an arbitrary quantum state of a harmonic oscillator in a finite dimensional Hilbert space is present in terms of a coherent state in the finite dimensional space.a quantum state is expressed as a path integral on a circle.A relation between the circle representation and the analytic representation of a quantum state is given.It is shown that the circle representation of a quantum state can be directly obtained from its analytic representation through a integral on the complex. |
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| Keywords: | harmonic oscillator quantum state path integral |
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