| 厄米量子相位算符的圈表示 |
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| 引用本文： | 匡乐满,姚敏.厄米量子相位算符的圈表示[J].湖南师范大学自然科学学报,1996,19(4):20-24. |
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| 作者姓名： | 匡乐满 姚敏 |
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| 作者单位： | [1]湖南师范大学物理系 [2]郴州师范专科学校物理系 |
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| 摘 要： | 提出厄米量子相位算符的圈表示，以有限维们下杖空间的量子态与复平面上的一个整函数一一对应的析表示为基础，引入任意位相态的圈表示，把位相态表示为一个在复平面上的沿具有相同半径的圆路径的路径积分，进而把位相态的圈表示推广至量子相位算符的圈表示，获得了圈表示解析表示之间的关系。
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| 关 键 词： | 量子态 厄米相位算符 量子相位算符 圈表示 |
Circle Representation of Quantum Phase Operator |
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| Kuang Leman.Circle Representation of Quantum Phase Operator[J].Journal of Natural Science of Hunan Normal University,1996,19(4):20-24. |
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| Authors: | Kuang Leman |
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| Abstract: | In this paper, a circle representation of a quantum phase operator defined in a finite-dimensional Hilbert space is introduced. Quantum states in the phase state space are expressed in terms of complex path integrals along a circle in the complex plane. These circle representations of quantum states are used to construct the circle representation of quantum phase operator in quantum mechanics. The realtions between the circle repreesentations of quantum states and quantum phase operator and their analytic representations are discussed in detail. |
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| Keywords: | quantum states phase path integral |
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