应用格拉斯曼积分研究二维伊辛模型的严格解  

The Exact Solution of Two-dimensional Ising Modle Based on Grassmann Path Integral

作　　者：陈小波[1,2] 

机构地区：[1]电子科技大学物理电子学院,成都610054 [2]四川文理学院物理与工程技术系,达州635000

出　　处：《科学技术与工程》2009年第20期6142-6144,6149,共4页Science Technology and Engineering

摘　　要：关于二维伊辛模型的严格解,传统上多采用转移矩阵方法,过程较为繁杂。应用格拉斯曼路径积分方法求解在一系列晶格上的二维伊辛模型的严格解。利用格拉斯曼变量的代数简化求和的计算,把自旋耦合求和变成自旋平均计算,在这方面使得求解的过程较传统方法简化许多。The exact solution with respect to two-dimensional Ising modle mostly use transfer matrix traditionally, the solving process is rather miscellaneous. The exact solution of two-dimensional Ising modle are obtained by using Grassmann path integral. So the sum of spinor can be simply replaced by the spin average calculation by using grassmann variables algebraic simplified sum spin coupling sum and reduce the computational Complexity.

关 键 词：二维伊辛模型 严格解 格拉斯曼积分 

分 类 号：O414.13[理学—理论物理]