Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
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Publication:5876657
DOI10.1088/1751-8121/abdfa5OpenAlexW3125782193MaRDI QIDQ5876657
Mariano Santander, Manuel F. Rañada, José F. Cariñena
Publication date: 1 February 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.04937
superintegrabilityKepler-related Hamiltoniansconformally Euclidean metricshigher-order constants of motionoscillator-related Hamiltonians
Related Items (7)
Sundman transformation and alternative tangent structures ⋮ Infinitesimal time reparametrisation and its applications ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups ⋮ Linearity of minimally superintegrable systems in a static electromagnetic field ⋮ Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere ⋮ 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
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