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Abstract
The multicomponent group-related coherent states for the Lie group chain G⊃K are introduced. Their coupling coefficients are presented. The relations between these coupling coefficients and those (in the usual sense) of the irreducible representation bases labelled by G⊃K are obtained. The generalized Racah's factorization lemma about the coupling coefficients of such coherent states is given. As an example, the multicomponent group-related coherent states for the Lie group chain Sp(4)⊃SO(3)1⊗SO(3)2 are found. The uncertainty relation and the squeezing property are discussed.
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