RANDOM-WALK REPRESENTATIONS OF THE HEISENBERG-MODEL

被引：9
|
作者：
CONLON, JG [1 ]
SOLOVEJ, JP [1 ]
机构：
[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA
来源：
JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 1-2期
关键词：
HEISENBERG MODEL; RANDOM WALK; ISING MODEL; INEQUALITIES;
D O I：
10.1007/BF01057876
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop random walk representations for the spin-S Heisenberg ferromagnet with nearest neighbor interactions. We show that the spin-S Heisenberg model is a diffusion with local times controlled by the spin-S Ising model. As a consequence, expectations for the Heisenberg model conditioned on zero diffusion are shown to be Ising expectations.
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页码：251 / 270
页数：20
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