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| 利用SU（2）_（q，s）量子代数的两参数变形振子实现讨论SU（2）_（q，s）相干态 | |
| 引用本文： | 于肇贤,刘业厚,李庆林,梁碧芳. 利用SU（2）_（q，s）量子代数的两参数变形振子实现讨论SU（2）_（q，s）相干态[J]. 中国物理 C, 1995, 0(3) |
| 作者姓名： | 于肇贤 刘业厚 李庆林 梁碧芳 |
| 作者单位： | 大庆石油学院，山东胜利油田职工大学 |
| 摘 要： | 利用ＳＵ（２）ｑ，ｓ量子代数的两参数变形振子实现构造出与Ｐｅｒｅｌｏｍｏｖ相干态形式不同的ＳＵ（２）ｑ，ｓ相干态．证明了ＳＵ（２）ｑ，ｓ，量子代数的表示基是正交的，并讨论了它的相干态的归一性和完备性．指出ＳＵ（２）ｑ，ｓ相干态的相干性受参数ｑ，ｓ的影响，它比单参数变形ＳＵ（２）ｑ相干态更具一般性． |
| 关 键 词： | SU（2）_（q，s）量子代数，变形振子，完备性关系． |
Study of SU(2)_(q,s) Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_(q,s) Quantum Algebra |
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| Yu Zhaoxian, Liu Yehou, Li Qinglin, Liang Bifang. Study of SU(2)_(q,s) Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_(q,s) Quantum Algebra[J]. High Energy Physics and Nuclear Physics, 1995, 0(3) | |
| Authors: | Yu Zhaoxian Liu Yehou Li Qinglin Liang Bifang |
| Abstract: | The SU(2)_(q,s) coherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2)q,s quantum algebra. It is shown that the basis function of the SU(2)q,s quantum algebra is orthogonal. The completeness and normalization property of the SU(2)q,s coherent state is studied. It is pointed out that the coherent property of the SU(2)q,s coherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2)q coherent state. |
| Keywords: | SU(2)_(q s) quantum algebra deformed harmonic oscillators completeness relation. |
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