自旋梯可积模型的研究  

Study of the electron spin-ladder model

作　　者：吴俊芳[1] 

机构地区：[1]西安交通大学理学院

出　　处：《西安工业学院学报》2005年第2期178-180,共3页Journal of Xi'an Institute of Technology

基　　金：国家自然科学基金(90103001)

摘　　要：通过对自旋梯可积模型的研究,用可积模型中的坐标Bethe Ansatz的方法,首先由薛定谔方程求得能量的本征方程,设定波函数的具体形式,求出本征能量,然后利用能量本征方程和波函数的连续性求出两体散射矩阵.得到了单粒子、双粒子和个粒子的本征能量,同时求得粒子的两体散射矩阵.自旋梯可积模型的本征能量和两体散射矩阵可通过Bethe Ansatz的方法求得.The eigenvalue and the two-particle scattering matrix are obtained in studying the spin-ladder model. The eigenvalue and the two-particle scattering matrix are solved with coordinate Bethe Ansatz method in integrable model. The first, eigenvalue equation is formed according to Schroedinger equation. The second, eigenvalue is worked out when the wave function is given. At the end, the two-particle scattering matrix is calculated by eigenvalue equation and the continuity condition of the wave fuhction. The eigenvalue of one-particle,two-particle and-particle is worked out, at the same time, two-particle scattering matrix is obtained too. The eigenvalue and two-particle scattering matrix of spin-ladder model are obtained with coordinate Bethe Ansatz method.

关 键 词：可积模型 坐标Bethe ANSATZ SCHROEDINGER方程 波函数 能量本征值 两体散射矩阵 

分 类 号：O413.1[理学—理论物理]