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
An Introduction to Integrable Techniques for One-Dimensional Quantum Systems
Language: en
Pages: 186
Authors: Fabio Franchini
Categories: Science
Type: BOOK - Published: 2017-05-25 - Publisher: Springer

DOWNLOAD EBOOK

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly s
Quantum Mechanics for Mathematicians
Language: en
Pages: 410
Authors: Leon Armenovich Takhtadzhi͡an
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical fou
Chaos in Classical and Quantum Mechanics
Language: en
Pages: 445
Authors: Martin C. Gutzwiller
Categories: Mathematics
Type: BOOK - Published: 2013-11-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the