Super-integrable Calogero-type systems admit maximal number of Poisson structures

DOI10.1016/S0375-9601(01)00365-6zbMath0969.37521arXivnlin/0105056OpenAlexW2064498601MaRDI QIDQ5937751

Cezary Gonera, Yavuz Nutku

Publication date: 15 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0105056

zbMATH Keywords

first integralsCasimirsdegenerate Poisson tensors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)

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Cites Work

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• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• A note on superintegrability of the quantum Calogero model.
• Integrability and a Solution for the One-Dimensional N-Particle System with Inversely Quadratic Pair Potentials
• Poisson structure of dynamical systems with three degrees of freedom
• Recursion operators: Meaning and existence for completely integrable systems
• On the superintegrability of Calogero-Moser-Sutherland model
• Generalized Hamiltonian Dynamics