000			01715 a2200205 4500
003			OSt
020			_a9783030241971
040			_cIIT Kanpur
041			_aeng
082			_a530.15 _bAr85e
100			_aArutyunov, Gleb
245			_aElements of classical and quantum integrable systems _cGleb Arutyunov
260			_bSrpinger _c2019 _aSwitzerland
300			_axiii, 414p
440			_aUNITEXT for physics
490			_a/ edited by Michele Cini... [et al.]
520			_aIntegrable 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.
650			_aQuantum integrable systems
942			_cBK
999			_c567276 _d567276