A three-dimensional quantum integrable mapping

DOI10.1007/BF02557336zbMath0957.82014OpenAlexW2085383325MaRDI QIDQ1567803

Sergey M. Sergeev

Publication date: 26 June 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557336

zbMATH Keywords

\(R\)-matrixintegrals of motionZamolodchikov modeldiscrete-time evolutionlocal Yang-Baxter equationcyclic representation limitthree-dimensional integrable mapping

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition
• Hirota equation as an example of an integrable symplectic map
• Affine Toda field theory as a 3-dimensional integrable system
• The vertex formulation of the Bazhanov-Baxter model.
• 3D symplectic map
• QUANTUM DILOGARITHM

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