A 9×9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System

作     者：苟立丹 薛康 王刚成 

作者机构：School of Science Changchun University of Science and Technology School of Physics Northeast Normal University 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2011年第55卷第2期

页      面：263-267页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Supported by National Natural Science Foundation of China under Grants No.10875026 

主　　题：矩阵表示 Berry相 系统 上代数 代数表达式 辫子群表示 矩阵和 酉矩阵 

摘      要：We present a 9×9 S-matrix and E-matrix.A representation of specialized Birman-Wenzl-Murakami algebra is obtained.Starting from the given braid group representation S-matrix,we obtain the trigonometric solution of Yang-Baxter equation.A unitary matrix R(x,φ1,φ2)is generated via the Yang-Baxterization approach.Then we construct a Yang-Baxter Hamiltonian through the unitary matrix R(x,φ1,φ2).Berry phase of this Yang-Baxter system is investigated in detail.