A class of superintegrable systems of Calogero type

DOI10.1063/1.2345472zbMath1112.81052arXivmath-ph/0606006OpenAlexW2021847458MaRDI QIDQ3442043

Pavel Winternitz, Roman G. Smirnov

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0606006

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Integrable and superintegrable extensions of the rational Calogero–Moser model in three dimensions, Exact solvability of superintegrable Benenti systems, Multiparticle systems. The algebra of integrals and integrable cases, Toward classification of 2nd order superintegrable systems in 3-dimensional conformally flat spaces with functionally linearly dependent symmetry operators, Higher order first integrals in classical mechanics, First integrals and Hamiltonians of some classes of ODEs of maximal symmetry, Superintegrable three-body systems on the line

Cites Work

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