Superintegrability of the caged anisotropic oscillator
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Publication:5505035
DOI10.1063/1.2988133zbMath1152.81424arXiv0808.2146OpenAlexW1965558737MaRDI QIDQ5505035
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Publication date: 23 January 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.2146
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
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Cites Work
- Unnamed Item
- Unnamed Item
- Some finite dimensional integrable systems and their scattering behavior
- Deformed u(2) Algebra as the Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator with Rational Ratio of Frequencies
- Polynomial constants of motion in flat space
- Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature
- On Hamiltonian systems in two degrees of freedom with invariants quartic in the momenta of form p21p22⋅⋅⋅
- A new superintegrable Hamiltonian
- Group theory of the Smorodinsky–Winternitz system
- Commensurate harmonic oscillators: Classical symmetries
- Theory of Orbits
- On the Problem of Degeneracy in Quantum Mechanics