Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton
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Publication:5427733
DOI10.1088/1751-8113/40/45/010zbMath1124.37036OpenAlexW1966165425MaRDI QIDQ5427733
José F. Cariñena, Mariano Santander, Manuel F. Rañada
Publication date: 26 November 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/40/45/010
curved Kepler and harmonic oscillator systemsHamilton derivation of the orbits of the Euclidean Kepler problem through its hodographs
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Related Items (8)
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization ⋮ The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ Curvature as an Integrable Deformation ⋮ Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II
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