Self-similar potentials and Ising models

被引：7
|
作者：
Loutsenko, I [1 ]
Spiridonov, V
机构：
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
[2] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Russia
来源：
JETP LETTERS | 1997年 / 66卷 / 12期
基金：
俄罗斯基础研究基金会; 加拿大自然科学与工程研究理事会;
关键词：
05.50.+q;
D O I：
10.1134/1.567599
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new link between soliton solutions of integrable nonlinear equations and one-dimensional Ising models is established. Translational invariance of the spin lattice associated with the KdV equation is related to self-similar potentials of the Schrodinger equation. This gives antiferromagnets with exponentially decaying interaction between the spins. The partition function is calculated exactly for a uniform magnetic field and two discrete values of the temperature. (C) 1997 American Institute of Physics. [S0021-3640(97)00224-7].
引用
收藏
页码：789 / 795
页数：7
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