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理论物理通讯：英文版

su（1,2） Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame

Jin Jin, Shuo, Xie, Bing-Hao, Y.-Y. YU, Zhao-Xian, Hou, Jing-Min

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

在线性纺纱波浪框架的铁磁性的模型明确地被给看有 su (1,2 ) 的 XYZ 反代数学的结构：Hamiltonian 能作为 su (1,2 ) 的线性功能被写代数学发电机。基于它，精力特征值被使用类似的转变，和代数学的 diagonalization 方法获得被调查。一些数字答案被给，并且结果显示一个仅仅组答案能在物理被接受。

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在线性纺纱波浪框架的铁磁性的模型明确地被给看有 su (1,2 ) 的 XYZ 反代数学的结构：Hamiltonian 能作为 su (1,2 ) 的线性功能被写代数学发电机。基于它，精力特征值被使用类似的转变，和代数学的 diagonalization 方法获得被调查。一些数字答案被给，并且结果显示一个仅仅组答案能在物理被接受。
The XYZXYZXYZ antiferromagnetic model in linear spin-wave frame is shown explicitly to have an su(1,2)su(1,2)su(1,2) algebraic structure: the Hamiltonian can be written as a linear function of the su(1,2)su(1,2)su(1,2) algebra generators. Based on it, the energy eigenvalues are obtained by making use of the similar transformations, and the algebraic diagonalization method is investigated. Some numerical solutions are given, and the results indicate that only one group solution could be accepted in physics.