The classical \(r\)-matrix method and superintegrable systems

DOI10.1007/BF02583046zbMath0968.37518MaRDI QIDQ1294913

Andreĭ Vladimirovich Tsyganov

Publication date: 4 September 2001

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

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Homogeneous Stäckel-type systems

Cites Work

• Unnamed Item
• Poisson structure of a periodic classical XYZ-chain
• Discrete groups and the integrability of quantum systems
• Quadrics on Riemannian spaces of constant curvature. Separation of variables and connection with the Gaudin magnet
• Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables
• The \(r\)-matrix structure of the Euler-Calogero-Moser model
• Linear r-matrix algebra for classical separable systems
• Stationary problems for equation of the KdV type and dynamical r-matrices
• Regularization of kepler's problem and the averaging method on a manifold

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