Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras

Details Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras

1993-06-22

arxiv.org/abs/hep-th/9306116v1

Phys.Lett. B314 (1993) 377-380

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 6 pages, BONN-HE-93.19

Scientific paper

10.1016/0370-2693(93)91252-I

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.

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