Superintegrable three-body systems on the line

DOI10.1063/1.3009575zbMath1159.81308arXiv0802.1353OpenAlexW1496631319MaRDI QIDQ3624639

Luca Degiovanni, Giovanni Rastelli, Claudia Maria Chanu

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0802.1353

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items (11)

Integrable and superintegrable extensions of the rational Calogero–Moser model in three dimensions ⋮ A note on the existence of a Smale horseshoe in the planar circular restricted three-body problem ⋮ The Tremblay-Turbiner-Winternitz system as extended Hamiltonian ⋮ Extensions of Hamiltonian systems dependent on a rational parameter ⋮ Extended Hamiltonians and shift, ladder functions and operators ⋮ Stationary flows revisited ⋮ Superintegrable system on a sphere with the integral of higher degree ⋮ Superintegrable generalizations of the Kepler and Hook problems ⋮ Carter's constant and superintegrability ⋮ Three and four-body systems in one dimension: integrability, superintegrability and discrete symmetries ⋮ Polynomial constants of motion for Calogero-type systems in three dimensions

Cites Work

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