Fine structure for 3D second-order superintegrable systems: three-parameter potentials

DOI10.1088/1751-8113/40/22/008zbMath1114.37032OpenAlexW2035982948MaRDI QIDQ5291870

Ernest G. Kalnins, Willard jun. Miller, Jonathan M. Kress

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/22/008

zbMATH Keywords

Hamiltonian systemconformally flat spaceshigher-order symmetry for three-parameter potentialsmultiseparability and lack of closure of the algebra of symmetriesStäckel transformsstructure theory for thee-parameter potentialssuperintegrable system of second order

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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