BCS Ground State and XXZ Antiferromagnetic Model as SU（2）,SU（1,1） Coherent States：AN Algebraic Diagonalization Method  

作　　者：XIEBing_Hao ZHANGHong－Biao 

机构地区：[1]TheoreticalPhysicsDIvision,NankaiInstituteofMathematics,NankaiUniversity,Tianjin300071,China [2]DepartmentofPhysics,NortheastNormalUniversity,Changchun130024,China

出　　处：《Communications in Theoretical Physics》2002年第3期292-296,共5页理论物理通讯（英文版）

摘　　要：An algebraic diagonalization method is proposed. As two examples, the Hamiltonians of BCS ground stateunder mean-field approximation and XXZ antiferromagnetic model in linear spin-wave frame have been diagonalized byusing SU(2), SU(1,1) Lie algebraic method, respectively. Meanwhile, the eigenstates of the above two models are revealedto be SU(2), SU(1,1) coherent states, respectively. The relation between the usual Bogoliubov Valatin transformationand the algebraic method in a special case is also discussed.

关 键 词：algebraic diagonalization method coherent state 

分 类 号：O413.3[理学—理论物理]