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UNITEXT for Physics

Elements of Classical and Quantum Integrable Systems

Authors: Arutyunov, Gleb

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  • 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
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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-030-24198-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-24197-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.


About the authors

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 (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-030-24198-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-24197-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Elements of Classical and Quantum Integrable Systems
Authors
Series Title
UNITEXT for Physics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-24198-8
DOI
10.1007/978-3-030-24198-8
Hardcover ISBN
978-3-030-24197-1
Series ISSN
2198-7882
Edition Number
1
Number of Pages
XIII, 414
Number of Illustrations
31 b/w illustrations, 20 illustrations in colour
Topics