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Integrable Systems: From Classical to Quantum
About this Title
J. Harnad, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, G. Sabidussi, Université de Montréal, Montréal, QC, Canada and P. Winternitz, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2000; Volume 26
ISBNs: 978-0-8218-2093-3 (print); 978-1-4704-3940-8 (online)
DOI: https://doi.org/10.1090/crmp/026
MathSciNet review: MR1792130
MSC: Primary 37-06; Secondary 37J35, 37K10, 37N20, 81-06, 82-06
Table of Contents
Front/Back Matter
Chapters
- On the chiral WZNW phase space, exchange r-matrices and Poisson-Lie groupoids
- Loop groups, $R$-matrices and separation of variables
- The geometry of generalised Hitchin systems
- Determinant representation for form factors
- Isomonodromic deformations in genus zero and one: Algebro-geometric solutions and Schlesinger transformations
- Quantum inverse scattering problem and correlation functions of integrable models
- Multiseparability and superintegrability for classical and quantum systems
- Integrability and symmetry of the XXZ model
- Characteristic systems on Poisson Lie groups and their quantization
- Special functions associated with Calogero-Moser type quantum systems
- Bäcklund transformations and Baster’s $Q$-operator
- Universality of the distribution functions of random matrix theory