Integrable perturbations of the \(N\)-dimensional isotropic oscillator

DOI10.1016/j.physleta.2010.03.040zbMath1237.70038arXiv0908.1017OpenAlexW2072734333MaRDI QIDQ414997

Ángel Ballesteros, Alfonso Blasco

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1017

zbMATH Keywords

coalgebrasperturbationsintegrable systemsLie algebrasharmonic oscillatorCasimir functions\(N\)-dimensional

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (2)

Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra ⋮ On certain types of point symmetries of systems of second-order ordinary differential equations

Cites Work

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