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Quantum relativistic Toda chain at root ofunity: isospectrality, modified <i>Q</i>‐operator, and functional Bethe ansatz
We investigate an N ‐state spin model called quantum relativistic Toda chain and based on the unitary finite‐dimensional representations of the Weyl algebra with q being N th primitive root of unity. Parameters of the finite‐dimensional representation of the local Weyl algebra form the classical discrete integrable system. Nontrivial dynamics …