From su(2) Gaudin Models to Integrable Tops

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2007
• Hauptverfasser: Petrera, M., Ragnisco, O.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147380
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: From su(2) Gaudin Models to Integrable Tops / M. Petrera, O. Ragnisco // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 29 назв. — англ.

In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) su(2) Gaudin models. The procedure preserves the linear r-matrix formulation of t...