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

作　　者：XIE Bing-Hao ZHANG Hong-Biao CHEN Jing-Ling 

机构地区：[1]Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China [2]Department of Physics, Northeast Normal University, Changchun 130024, China Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088,China

出　　处：《Communications in Theoretical Physics》2002年第9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：O4[理学—物理]