Classical and Quantum Nonlinear Integrable Systems: Theory and Application

Abstract

This is a very interesting collection of introductory and review articles on the theory and applications of classical and quantum integrable systems. The book reviews several integrable systems such as the KdV equation, vertex models, RSOS and IRF models, spin chains, integrable differential equations, discrete systems, Ising, Potts and other lattice models and reaction--diffusion processes, as well as outlining major methods of solving integrable systems. These include Lax pairs, Bäcklund and Miura transformations, the inverse scattering method, various types of the Bethe Ansatz, Painlevé methods, the dbar method and fusion methods to mention just a few.