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Indecomposable Representations of the Square—Root Lie Algebras of Vector Type and Their Boson Realizations 被引量:1
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作者 RUANDong YUANJing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第5期513-518,共6页
The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invar... The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits. 展开更多
关键词 nonlinear Lie algebra indecomposable representation boson realization angular momentum coherent state
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