2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80062Matrix 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.LaTeX2e, 27 pagesExactly Solvable and Integrable Systemstext