On some properties of harmonic oscillator on spaces of constant curvature.
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Publication:1853825
DOI10.1016/S0034-4877(02)80031-3zbMath1111.70017OpenAlexW1988428901MaRDI QIDQ1853825
Manuel F. Rañada, Mariano Santander
Publication date: 22 January 2003
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(02)80031-3
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Two-body problems (70F05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items
On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II., The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature, Curvature as an Integrable Deformation, From oscillator(s) and Kepler(s) potentials to general superintegrable systems in spaces of constant curvature, Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2, 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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