| Coupling Between the Group—Related Coherent States |
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| 引用本文： | LIGuang－Hua HEHui－Yong.Coupling Between the Group—Related Coherent States[J].理论物理通讯,2001,35(1):1-6. |
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| 作者姓名： | LIGuang－Hua HEHui－Yong |
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| 作者单位： | DepartmentofPhysics,ChangshaUniversityofElectricPower,Changsha410077,China |
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| 摘 要： | When two representations of the Lie algebra are coupled,the coupling integral kernels are presented to relate the coupled to uncoupled group-related coherent states,These kernels have a connection with usual coupling coefficients.The explicit expressions of these kernels for SU(2),SO(4) and SUq(2) are given.When the direct product of three representations is formed in two ways,the recoupling integral kernels relating to the coupled group-related coherent states corresponding to two different schemes are introduced,and the relations between these kernels and the general recoupling coefficients are obtained.The properties of these kerels are discussed.
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| 关 键 词： | 群论 相干态 耦合系数 |
| 收稿时间： | 1999-12-30 |
Coupling Between the Group-Related Coherent States |
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| LI Guang-Hua and HE Hui-Yong.Coupling Between the Group-Related Coherent States[J].Communications in Theoretical Physics,2001,35(1):1-6. |
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| Authors: | LI Guang-Hua and HE Hui-Yong |
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| Institution: | Department of Physics, Changsha University of Electric Power,
Changsha 410077, China |
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| Abstract: | When two representations of the Lie algebra are coupled, the coupling integral kernels are presented to relate the coupled to uncoupled group-related coherent states. These kernels have a connection with usual coupling coefficients. The explicit expressions of these kernels for SU(2), SO(4) and SUq(2) are given. When the direct product of three representations is formed in two ways, the recoupling integral kernels relating to the coupled group-related coherent states
corresponding to two different schemes are introduced, and the relations between these kernels and the general recoupling coefficients are obtained. The properties of these kernels are discussed. |
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| Keywords: | group-related coherent states coupling coefficients coupling integral kernel recoupling integral kernel |
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