1+1 Gaudin Model

dc.contributor.authorZotov, A.V.
dc.date.accessioned2019-02-14T16:56:21Z
dc.date.available2019-02-14T16:56:21Z
dc.date.issued2011
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipAuthor is grateful to M.A. Olshanetsky for useful discussions and remarks. The work was supported by grants RFBR-09-02-00393, RFBR-09-01-92437-KEa, RFBR-09-01-93106-NCNILa, Russian President fund MK-1646.2011.1 and to the Federal Agency for Science and Innovations of Russian Federation under contract 14.740.11.0347.uk_UA
dc.identifier.citation1+1 Gaudin Model / A.V. Zotov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 39 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14H70; 33E05; 37K20; 37K10
dc.identifier.otherDOI:10.3842/SIGMA.2011.067
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147387
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.title1+1 Gaudin Modeluk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
067-Zotov.pdf
Розмір:
521.77 KB
Формат:
Adobe Portable Document Format

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис: