2001/01/15 by S. Pakuliak, Pakuliak, S., С. М. Сергеев +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0101024
LaTeX2e, 15 pages; references improved
arxiv created 2001/05/17 · arxiv updated 2009/11/30
We 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.