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Relativistic Toda chain at root of unity II. Modified Q-operator

S. Pakuliak·S. Sergeev
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Abstract

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 make isospectrality transformations of quantum transfer matrices so that the classical counterparts of Q-operators correspond to the Baecklund isospectrality transformations of the classical transfer matrices. Separated vectors for the Functional Bethe Ansatz are constructed with the help of modified Q-operators.

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S. Pakuliak, S. Sergeev. 2001-07-27. Relativistic Toda chain at root of unity II. Modified Q-operator. https://arxiv.org/abs/nlin/0107062

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