Polynomial constants of motion for Calogero-type systems in three dimensions

DOI10.1063/1.3559132zbMath1315.76012arXiv1002.2735OpenAlexW3099579962MaRDI QIDQ5260953

Giovanni Rastelli, Luca Degiovanni, Claudia Maria Chanu

Publication date: 30 June 2015

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

Full work available at URL: https://arxiv.org/abs/1002.2735

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

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 ⋮ On the extended-Hamiltonian structure of certain superintegrable systems on constant-curvature Riemannian and pseudo-Riemannian surfaces ⋮ Extensions of nonnatural Hamiltonians ⋮ Three and four-body systems in one dimension: integrability, superintegrability and discrete symmetries ⋮ Third-order superintegrable systems separable in parabolic coordinates ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

Cites Work

• Three and four-body systems in one dimension: integrability, superintegrability and discrete symmetries
• Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces
• Superintegrable three-body systems on the line
• An infinite family of solvable and integrable quantum systems on a plane
• Families of classical subgroup separable superintegrable systems
• Periodic orbits for an infinite family of classical superintegrable systems

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