On the quantum inverse scattering problem

A general method for solving the so-called quantum inverse scattering probl em (namely the reconstruction of local quantum (field) operators in term of the quantum monodromy matrix satisfying a Yang-Baxter quadratic algebra go verned by an R-matrix) for a large class of lattice quantum integrable mode ls is given. The principal requirement being the initial condition (R(0) = P, the permutation operator) for the quantum R-matrix solving the Yang-Baxt er equation, it applies not only to most known integrable fundamental latti ce models (such as Heisenberg spin chains) but also to lattice models with arbitrary number of impurities and to the so-called fused lattice models (i ncluding integrable higher spin generalizations of Heisenberg chains). Our method is then applied to several important examples like the sl(n) XYZ mod el, the XYZ spin-1/2 chain and also to the spin-s heisenberg chains. (C) 20 00 Elsevier Science B.V. All rights reserved.