| 应用格拉斯曼积分研究二维伊辛模型的严格解 |
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| 引用本文： | 陈小波. 应用格拉斯曼积分研究二维伊辛模型的严格解[J]. 南京邮电大学学报(自然科学版), 2009, 9(20) |
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| 作者姓名： | 陈小波 |
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| 作者单位： | 四川文理学院 |
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| 摘 要： | 关于二维伊辛模型的严格解，传统上多采用所谓的转移矩阵方法，过程较为繁杂。文中将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。
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| 关 键 词： | 二维伊辛模型；严格解；格拉斯曼积分 |
| 修稿时间： | 2009-08-30 |
The Exact Solution of Two-dimensional Ising Modle Based on Grassmann Path Integral |
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| chenxiaobo. The Exact Solution of Two-dimensional Ising Modle Based on Grassmann Path Integral[J]. JJournal of Nanjing University of Posts and Telecommunications, 2009, 9(20) |
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| Authors: | chenxiaobo |
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| Abstract: | 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. |
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| Keywords: | two-dimensional Ising modle exact solution Grassmann path integral |
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