Examples of complete solvability of 2D classical superintegrable systems

DOI10.3842/SIGMA.2015.088zbMath1331.81140arXiv1505.00527MaRDI QIDQ903687

Yuxuan Chen, Qiushi Li, Willard jun. Miller, Ernest G. Kalnins

Publication date: 15 January 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00527

zbMATH Keywords

superintegrable systemsclassical trajectories

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (3)

From ordinary to discrete quantum mechanics: the Charlier oscillator and its coalgebra symmetry ⋮ Global structure and geodesics for Koenigs superintegrable systems ⋮ Superintegrability on the hyperbolic plane with integrals of any degree \(\geq 2\)

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