1+1 Gaudin Model
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
1+1 Gaudin Model
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| Creator |
Zotov, A.V.
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| Description |
We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N) case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic curve. In sl(2) case we study the equations in detail and find the corresponding Hamiltonian densities. The n-site model describes n interacting Landau-Lifshitz models of magnets. The interaction depends on position of the sites (marked points on the curve). We also analyze the 2-site case in its own right and describe its relation to the principal chiral model. We emphasize that 1+1 version impose a restriction on a choice of flows on the level of the corresponding 0+1 classical mechanics.
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| Date |
2019-02-14T16:56:21Z
2019-02-14T16:56:21Z 2011 |
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| Type |
Article
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| Identifier |
1+1 Gaudin Model / A.V. Zotov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 39 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H70; 33E05; 37K20; 37K10 DOI:10.3842/SIGMA.2011.067 http://dspace.nbuv.gov.ua/handle/123456789/147387 |
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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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