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nlin.SI2001
Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy
S. Pakuliak, S. Sergeev
The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum opera…
nlin.SI2001
Relativistic Toda chain at root of unity II. Modified Q-operator
S. Pakuliak, S. Sergeev
Matrix elements of quantum intertwiner as well as the modified Q-operator for the quantum relativistic Toda chain at root of unity are constructed explicitly. Modified Q-operators…
nlin.SI2001
Relativistic Toda chain at root of unity
S. Pakuliak, S. Sergeev
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.…