A note on some superintegrable Hamiltonian systems

DOI10.1016/j.geomphys.2016.06.005zbMath1388.37066arXiv1601.03079OpenAlexW2463648005WikidataQ57949408 ScholiaQ57949408MaRDI QIDQ2400269

Allan P. Fordy

Publication date: 28 August 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03079

zbMATH Keywords

Hamiltonian systemdifferential Galois theoryPoisson algebraEuclidean algebrasuper-integrability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (5)

On certain integrable and superintegrable weight-homogeneous Hamiltonian systems ⋮ On Superintegrable Systems with a Cubic Integral of Motion ⋮ Poisson algebras and 3D superintegrable Hamiltonian systems ⋮ Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³

Cites Work

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• Note on integrability of certain homogeneous Hamiltonian systems
• Quantum super-integrable systems as exactly solvable models
• Classical and quantum superintegrability with applications
• Recursive procedures for Krall-Sheffer operators

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