具有量子群对称性的XXZ模型  

XXZ Model With the Symmetry of Quantum Group

作　　者：侯伯元[1] 

机构地区：[1]中国科学技术大学研究生院

出　　处：《中国科学技术大学学报》1993年第1期20-29,共10页JUSTC

摘　　要：讨论了具有量子群Heisenberg自旋链XXZ模型。对有限链,Bethe Ansatz方程极复杂,注意到体系的量子群对称性,利用q-畸变Young算子,可将此哈密顿体系约化为一组耦合的线性代数方程,可明显解出。当q为单位根时,某些能级发生简并,存在零模,利用特殊边界条件及适当的极限过程可小心去掉零因子归一,组成可约但不可分解表示。An XXZ model of Heisenberg spin chain with the symmetry of quantum group is discussed. For a finite chain, the Bethe Ansatz equations(BAE) are very complicated. In terms of q-deformation Young operators this Hamiltonean system can be reduced to a set of coupled linear algebraic equations, which could be explicitely solved. When q is a root of unity, some energies may be degenerated, and zero models exist. By choosing a particular boundary condition and an appropriate limit process, a reducible but indecomposable representation (type Ⅰ) of U_q(sl(2))is constructed.

关 键 词：量子群 XXZ模型 自旋链 

分 类 号：O411.1[理学—理论物理]