Statistical Average of Spin Operators for Calculation of Three-Component Magnetization （II）： Solution of Equation

作     者：WANG Huai-Yu LONG Yao CHEN Nan-Xian 

作者机构：Department of Physics Tsinghua University Beijing 100084 China 

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

年 卷 期：2006年第45卷第1期

页      面：175-179页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：The project supported by the State Key Project of Fundamental Research of China under Grant No. G2000067101 

主　　题：three-component magnetization Heisenberg model many-body Green's function method ordinary differential equation Chebyshev functions 

摘      要：In this paper, the solution of Chebyshev equation with its argument being greater than 1 is obtained. The initial value of the derivative of the solution is the expression of magnetization, which is valid for any spin quantum number S. The Chebyshev equation is transformed from an ordinary differential equation obtained when we dealt with Heisenberg model, in order to calculate all three components of magnetization, by many-body Green＇s function under random phase approximation. The Chebyshev functions with argument being greater than 1 are discussed. This paper shows that the Chebyshev polynomials with their argument being greater than 1 have their physical application.