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

2001/07/27 by S. Pakuliak, Pakuliak, S., С. М. Сергеев +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0107062

LaTeX2e, 27 pages

arxiv created 2001/07/27 · openalex publication_date 2001/07/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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