Reaction-diffusion processes described by three-state quantum chains and integrability

摘要: The master equation of one-dimensional three-species reaction-diffusion processes is mapped onto an imaginary-time Schrodinger equation. In many cases the Hamiltonian obtained that integrable quantum chain with known properties. Within this approach we search for three-state chains spectra and which are related to diffusive-reactive systems. Two models found appear naturally in context: UqSU(2)-invariant model external fields UqSU(P/M)-invariant Perk-Schultz fields. A non-local similarity transformation brings governing chemical standard forms described, leading case periodic boundary conditions a generalization Dzialoshinsky-Moriya interaction N-state Hamiltonians (N>2).