Elements of Classical and Quantum Integrable Systems /
General Material Designation
[Book]
First Statement of Responsibility
by Gleb Arutyunov.
EDITION STATEMENT
Edition Statement
1st ed. 2019.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Springer International Publishing,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (XIII, 414 pages) :
Other Physical Details
51 illustrations, 20 illustrations in color
SERIES
Series Title
UNITEXT for Physics
CONTENTS NOTE
Text of Note
Liouville Integrability -- Integrability from symmetries -- Quantum-mechanical integrable systems -- Factorised Scattering Theory -- Bethe Ansatz -- Integrable Thermodynamics -- Appendices.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
Title
Elements of Classical and Quantum Integrable Systems.