REACTION-DIFFUSION PROCESSES AS PHYSICAL REALIZATIONS OF HECKE ALGEBRAS

被引：66

作者：

ALCARAZ, FC ^{[1
]}

RITTENBERG, V ^{[1
]}

机构：

[1] UNIV FED SAO CARLOS,DEPT FIS,BR-13560 SAO CARLOS,SP,BRAZIL

来源：

PHYSICS LETTERS B | 1993年 / 314卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)91252-I

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the master equation goveRNing the dynamics of simple diffusion and certain chemical reaction processes in one dimension gives time evolution operators (Hamiltonians) which are realizations of Hecke algebras. In the case of simple diffusion one obtains, after similarity transformations, reducible hermitian representations while in the other cases they are non-hermitian and correspond to supersymmetric quotients of Hecke algebras.

引用

页码：377 / 380

页数：4

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