A note on some superintegrable Hamiltonian systems

Abstract

We consider some examples of superintegrable system which were recently isolated through a differential Galois group analysis. The identity of these systems is clarified and the corresponding Poisson algebras derived.

7 pages

References in corpus (4)

• Classical and Quantum Superintegrability with Applications
• Hidden Symmetries of Dynamics in Classical and Quantum Physics
• Quantum Super-Integrable Systems as Exactly Solvable Models
• Note on integrability of certain homogeneous Hamiltonian systems

Cited by in corpus (4)

• Superintegrable systems with a position dependent mass : Kepler-related and Oscillator-related systems
• Poisson Algebras and 3D Superintegrable Hamiltonian Systems
• Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
• Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere $S^3$ and on the Hyperbolic space $H^3$