From su(2) Gaudin Models to Integrable Tops
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...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147380 |
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| Cite this: | 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. |
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irk-123456789-1473802019-02-15T01:24:41Z From su(2) Gaudin Models to Integrable Tops Petrera, M. Ragnisco, O. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Petrera, M. Ragnisco, O. |
| spellingShingle |
Petrera, M. Ragnisco, O. From su(2) Gaudin Models to Integrable Tops Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Petrera, M. Ragnisco, O. |
| author_sort |
Petrera, M. |
| title |
From su(2) Gaudin Models to Integrable Tops |
| title_short |
From su(2) Gaudin Models to Integrable Tops |
| title_full |
From su(2) Gaudin Models to Integrable Tops |
| title_fullStr |
From su(2) Gaudin Models to Integrable Tops |
| title_full_unstemmed |
From su(2) Gaudin Models to Integrable Tops |
| title_sort |
from su(2) gaudin models to integrable tops |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147380 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT petreram fromsu2gaudinmodelstointegrabletops AT ragniscoo fromsu2gaudinmodelstointegrabletops |
| first_indexed |
2025-07-11T01:59:20Z |
| last_indexed |
2025-07-11T01:59:20Z |
| _version_ |
1837313987378675712 |