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利用SUq(2)量子代数的q变形振子实现讨论SUq(2)相干态
引用本文:郝三如. 利用SUq(2)量子代数的q变形振子实现讨论SUq(2)相干态[J]. 物理学报, 1993, 42(5): 691-698
作者姓名:郝三如
作者单位:长沙水利电力师范学院物理系,长沙410077
摘    要:利用SUq(2)量子代数的q变形振子实现构造出SUq(2)的相干态。证明SUq(2)代数的表示基是正交的,并讨论了它的相干态的归一性、完闭性。指出SUq(2)相干态的相干性受q参数影响较大,它比通常的SU(2)相干态更具有一般性。关键词

关 键 词:光场 相干态 q变形振子 SUq(2)
收稿时间:1992-06-18

A STUDY OF SUq(2) COHERENT STATE BY MAKING USE OF q-DEFORMATION HARMONIC OSCILLATORS REALIZATION OF SUq(2) QUANTUM ALGEBRA
HAO SAN-RU. A STUDY OF SUq(2) COHERENT STATE BY MAKING USE OF q-DEFORMATION HARMONIC OSCILLATORS REALIZATION OF SUq(2) QUANTUM ALGEBRA[J]. Acta Physica Sinica, 1993, 42(5): 691-698
Authors:HAO SAN-RU
Abstract:The SUq(2) coherent state is constructed by making use of the q- deformation harmonic oscillators realization of the SUq(2) quantum algebra. It is shown that the basis functions of the SU, (2) quantum algebra is orthogonal. The completeness and normalizing property of the SUq(2) coherent state is studied. We point out that the coherent property of the SUq(2) co-herent state is affected by q parameter, and show more generalility than the usual SU(2) co-herent state.
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