Quantum Inverse Scattering Method And Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

L. D. Faddeev's Seminar on Mathematical Physics

A collection of articles written by researchers affiliated with L. D. Faddeev's seminar at the Leningrad Department of the Steklov Mathematical Institute. Two papers deal with subjects arising from quantum field theory, and another group of papers examine various aspects of the classical inverse scattering method and its generalizations. A third group of papers deals with various aspects of the quantum inverse scattering method and quantum groups. A final paper reports on a new advance in deformation quantization and presents an explicit formula for the (formal) deformation quantization on arbitrary Kahler manifolds. Annotation copyrighted by Book News, Inc., Portland, OR