Elements of Classical and Quantum Integrable Systems

Released on by Gleb Arutyunov
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  • Elements of Classical and Quantum Integrable Systems Book Detail

  • Author : Gleb Arutyunov
  • Release Date : 2019-07-23
  • Publisher : Springer
  • Genre : Science
  • Pages : 414
  • ISBN 13 : 303024198X
  • File Size : 80,80 MB
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Elements of Classical and Quantum Integrable Systems by Gleb Arutyunov PDF Summary

Book Description: 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.

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The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the fie

Integrable Systems And Quantum Groups

Integrable Systems And Quantum Groups

File Size : 39,39 MB
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This volume contains lectures on recent advances in the theory of integrable systems and quantum groups. It introduces the reader to attractive areas of current