Indecomposable Representations of the Square—Root Lie Algebras of Vector Type and Their Boson Realizations  

作　　者：RUANDong YUANJing 

机构地区：[1]DepartmentofPhysics,TsinghuaUniversity,Beijing100084,China KeyLabortoryforQuantumInformationandMeasurementsofMOE,TsinghuaUniversity,Beijing100084,China CenterofTheoreticalNuclearPhys [2]DepartmentofPhysi

出　　处：《Communications in Theoretical Physics》2001年第5期513-518,共6页理论物理通讯（英文版）

基　　金：国家自然科学基金，国家重点基础研究发展计划(973计划)，清华大学校科研和教改项目

摘　　要：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.

关 键 词：nonlinear Lie algebra indecomposable representation boson realization angular momentum coherent state 

分 类 号：O152.5[理学—数学]