| D维各向同性谐振子和广义球相干态 |
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| 引用本文： | 倪致祥. D维各向同性谐振子和广义球相干态[J]. 阜阳师范学院学报(自然科学版), 1991, 0(1): 48-54 |
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| 作者姓名： | 倪致祥 |
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| 作者单位： | 阜阳师范学院物理系 |
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| 摘 要： | 本文由D维各向同性谐振子的径向哈密顿的降算子导出了广义球相干态.我们证明了这种状态具有最小测不准性和准经典性,其集合具有非常数权重的超完备性.并由此引入了广义球相干态表象.
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| 关 键 词： | 谐振子 各向同性 D维 广义球相干态 |
D-DIMENS10NAL HARMONIC OSCILLATOR AND GENERALISED SPHERICAL COHERENT STATES |
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| Abstract: | In this paper,the generalized spherical coherent statesis obtained from the radial Hamitonion of a D-dimensional harmonic oscillator. we show that these states can follow the classical motion and minimize the generalized Positionmomentum uncertainty relation.The set of these states possesses the super-completeness, and thus the representation of the generalized spherical coherent states can be introduced. |
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