Limits of Gaudin Systems: Classical and Quantum Cases

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Chervov, A., Falqui, G., Rybnikov, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149175
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Limits of Gaudin Systems: Classical and Quantum Cases / A. Chervov, G. Falqui, L. Rybnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 34 назв. — англ.

We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to define new families of Liouville integrals (in the classical case) and new '...