Harmonic oscillator on the \(\mathrm{SO}(2,2)\) hyperboloid

DOI10.3842/SIGMA.2015.096zbMath1339.70033arXiv1504.06228MaRDI QIDQ903698

Davit R. Petrosyan, George S. Pogosyan

Publication date: 15 January 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06228

zbMATH Keywords

Hamilton-Jacobi equationshyperbolic spaceharmonic oscillatorsuperintegrability

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

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Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ The anisotropic oscillator on curved spaces: a exactly solvable model ⋮ Curvature as an Integrable Deformation

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