From su(2) Gaudin Models to Integrable Tops
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
From su(2) Gaudin Models to Integrable Tops
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| Creator |
Petrera, M.
Ragnisco, O. |
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| Description |
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 the ancestor models. We give the Lax representation of the resulting integrable systems in terms of su(2) Lax matrices with rational and elliptic dependencies on the spectral parameter. We finally give some results about the many-body extensions of the constructed systems.
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| Date |
2019-02-14T14:54:25Z
2019-02-14T14:54:25Z 2007 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 70E17; 70E40; 37J35 http://dspace.nbuv.gov.ua/handle/123456789/147380 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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