Relativistic Toda chain at root of unity

dc.creatorPakuliak, S.
dc.creatorSergeev, S.
dc.date2001-01-15
dc.date2001-05-17
dc.date.accessioned2026-07-07T05:33:17Z
dc.date.available2026-07-07T05:33:17Z
dc.descriptionWe declare briefly several interesting features of the quantum relativistic Toda chain at N-th root of unity. We consider the finite dimensional representation of the Weyl algebra. The origin of the features mentioned is that we consider simultaneously the quantum finite dimensional part and the classical dynamics of N-th powers of Weyl's elements. As the main result, using the technique of Q-operators, we establish a correspondence between the separation of variables in the quantum model and the Baecklund transformations of its classical counterpart.
dc.descriptionLaTeX2e, 15 pages; references improved
dc.identifierhttps://arxiv.org/abs/nlin/0101024
dc.identifierhttp://arxiv.org/abs/nlin/0101024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79947
dc.subjectExactly Solvable and Integrable Systems
dc.titleRelativistic Toda chain at root of unity
dc.typetext

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