Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras

Preprint

22 June 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9306116

Abstract

We show that the master equation governing the dynamics of simple diffusion and certain chemical reaction processes in one dimension give 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.

Keywords

REALIZATIONS OF HECKE
PHYSICAL REALIZATIONS
DIFFUSION PROCESSES
REACTION DIFFUSION
CHEMICAL REACTION
HECKE ALGEBRAS
HERMITIAN

All Related Versions

Version 1, 1993-06-22, ArXiv
Version 1, 1994-02-04, ArXiv (Unconfirmed version)
Published version: Physics Letters B, 314 (3-4), 377.

This publication has 0 references indexed in Scilit: