Elements of Classical and Quantum Integrable Systems by Gleb Arutyunov (English)

Description: Elements of Classical and Quantum Integrable Systems by Gleb Arutyunov 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 andRuijsenaars-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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Back Cover 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. Author Biography Dr. Gleb Arutyunov received his PhD in Theoretical Physics in 1996 from Steklov Mathematical Institute in Moscow. After completing his Alexander von Humboldt fellowship at Ludwig Maximilian University of Munich he became a postdoctoral fellow and then in 2002 a senior researcher at the Max-Planck Institute for Gravitational Physics (Albert Einstein Institute) in Potsdam. From 2005 he held various professor positions at the Institute for Theoretical Physics of Utrecht University. Since 2014 Dr. Arutyunov is a Professor of Mathematical Physics at the University of Hamburg. His primary research interests include integrable models, quantum field and string theory. Table of Contents Liouville Integrability.- Integrability from symmetries.- Quantum-mechanical integrable systems.- Factorised Scattering Theory.- Bethe Ansatz.- Integrable Thermodynamics.- Appendices. Review "This well-written and well thought out book deals with some marvelous material, which, while meant for physicists, and written by a physicist, is of great relevance to mathematics. This book should be very interesting and useful to many mathematicians." (Michael Berg, MAA Reviews, March 7, 2020) Review Quote "This well-written and well thought out book deals with some marvelous material, which, while meant for physicists, and written by a physicist, is of great relevance to mathematics. This book should be very interesting and useful to many mathematicians." (Michael Berg, MAA Reviews, March 7, 2020) Feature Gives a comprehensive introduction into basic aspects of integrability phenomenon Provides an extensive treatment of representative models both at classical and quantum level with a large amount of detailed derivations Covers modern theoretical techniques for finding exact solutions of an integrable model Details ISBN3030241971 Author Gleb Arutyunov Language English Year 2019 ISBN-10 3030241971 ISBN-13 9783030241971 Format Hardcover Pages 414 Publication Date 2019-08-07 DOI 10.1007/978-3-030-24198-8 Edition 1st Place of Publication Cham Country of Publication Switzerland Illustrations 20 Illustrations, color; 31 Illustrations, black and white; XIII, 414 p. 51 illus., 20 illus. in color. Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2019 Series UNITEXT for Physics Imprint Springer Nature Switzerland AG Alternative 9783030242008 DEWEY 515.39 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:128071708;

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