A REPRESENTATION OF SPECIALIZED BIRMAN-WENZL-MURAKAMI ALGEBRA AND BERRY PHASE IN YANG-BAXTER SYSTEM

被引：2
|
作者：
Gou, Lidan [1 ,2 ]
机构：
[1] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China
[2] Changchun Univ Sci & Technol, Sch Sci, Changchun 130022, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2010年 / 8卷 / 07期
关键词：
Birman-Wenzl-Murakami algebra; Yang-Baxter equation; Berry phase; BRAID GROUP-REPRESENTATIONS; DELTA-FUNCTION INTERACTION; BODY PROBLEM; R-MATRIX; BAXTERIZATION; ENTANGLEMENT;
D O I：
10.1142/S0219749910006320
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present an S-matrix, a solution of the braid relation. A matrix representation of specialized Birman-Wenzl-Murakami algebra is obtained. Based on which, a unitary R-matrix is generated via the Yang-Baxterization approach. Then we construct a Yang-Baxter Hamiltonian through the unitary R-matrix. Berry phase of this Yang-Baxter system is investigated in detail.
引用
收藏
页码：1187 / 1197
页数：11
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