Master integrals, superintegrability and quadratic algebras

DOI10.1016/S0007-4497(02)01117-XzbMath1010.37033arXivnlin/0110018MaRDI QIDQ1865015

Raquel Caseiro

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0110018

zbMATH Keywords

master integralssuperintegrabilityOevel's theorem

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (4)

Hamiltonian Dynamics of a spaceship in Alcubierre and G\"odel metrics: Recursion operators and underlying master symmetries ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Integrable hierarchies and the modular class ⋮ Noncommutative Kepler dynamics: symmetry groups and bi-Hamiltonian structures

Cites Work

• Unnamed Item
• Completely integrable bi-Hamiltonian systems
• On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian.
• Hidden symmetry of the quantum Calogero-Moser system
• Algebraic linearization of dynamics of Calogero type for any Coxeter group
• Quadratic algebra associated with rational Calogero-Moser models
• A simple model of the integrable Hamiltonian equation
• Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries

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