Quantum Inverse Scattering Method and Correlation Functions (Cambridge Monographs on Mathematical Physics) - Hardcover

Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G.

Hardcover

ISBN 10: 0521373204 ISBN 13: 9780521373203

Publisher: Cambridge University Press, 1993

Synopsis

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-Gordon equation or the quantum nonlinear Schrödinger equation). This introduction to this important and exciting area 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.

About this title

Book Description

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.

Review

"An important carefully-crafted text, in 4 parts: examination of the Bethe ansatz and calculation of physical quantities; theory of the quantum inverse scattering; third and fourth sections apply preceding work to calculation of correlation functions." American Mathematical Monthly

Edition details

• Publisher: Cambridge University Press
• Publication date: 1993
• ISBN 10: 0521373204
• ISBN 13: 9780521373203
• Binding: Hardcover
• Language: English
• Number of pages: 575