Pronko, G.; Sergeev, Sergei Quantum relativistic Toda chain. (English) Zbl 1109.82317 J. Appl. Math. 1, No. 2, 47-68 (2001). Summary: Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s \(q\) we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex \(R\)-matrix. Both independent Baxter’s \(Q\)-operators are constructed explicitly. Cited in 1 Document MSC: 82B23 Exactly solvable models; Bethe ansatz 37K60 Lattice dynamics; integrable lattice equations 81R12 Groups and algebras in quantum theory and relations with integrable systems 82B10 Quantum equilibrium statistical mechanics (general) PDF BibTeX XML Cite \textit{G. Pronko} and \textit{S. Sergeev}, J. Appl. Math. 1, No. 2, 47--68 (2001; Zbl 1109.82317) Full Text: DOI arXiv EuDML OpenURL