Elements of Classical and Quantum Integrable Systems

Elements of Classical and Quantum Integrable Systems
Author :
Publisher : Springer
Total Pages : 420
Release :
ISBN-10 : 9783030241988
ISBN-13 : 303024198X
Rating : 4/5 (88 Downloads)

Book Synopsis Elements of Classical and Quantum Integrable Systems by : Gleb Arutyunov

Download or read book Elements of Classical and Quantum Integrable Systems written by Gleb Arutyunov and published by Springer. This book was released on 2019-07-23 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.


Elements of Classical and Quantum Integrable Systems Related Books

Elements of Classical and Quantum Integrable Systems
Language: en
Pages: 420
Authors: Gleb Arutyunov
Categories: Science
Type: BOOK - Published: 2019-07-23 - Publisher: Springer

DOWNLOAD EBOOK

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is we
Introduction to Classical Integrable Systems
Language: en
Pages: 622
Authors: Olivier Babelon
Categories: Mathematics
Type: BOOK - Published: 2003-04-17 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their
Integrable Systems
Language: en
Pages: 340
Authors: Ahmed Lesfari
Categories: Mathematics
Type: BOOK - Published: 2022-07-13 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

This book illustrates the powerful interplay between topological, algebraic and complex analytical methods, within the field of integrable systems, by addressin
Classical and Quantum Nonlinear Integrable Systems
Language: en
Pages: 222
Authors: A Kundu
Categories: Science
Type: BOOK - Published: 2019-04-23 - Publisher: CRC Press

DOWNLOAD EBOOK

Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide r
Elements of Superintegrable Systems
Language: en
Pages: 214
Authors: B. Kupershmidt
Categories: Mathematics
Type: BOOK - Published: 1987-02-28 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the pro