Integrable generalizations of oscillator and Coulomb systems via action-angle variables
| Autor: | Hakobyan, Tigran, Lechtenfeld, Olaf, Nersessian, Armen, Saghatelian, Armen, Yeghikyan, Vahagn |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Phys.Lett. A376:679-686,2012 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physleta.2011.12.034 |
| Popis: | Oscillator and Coulomb systems on N-dimensional spaces of constant curvature can be generalized by replacing their angular degrees of freedom with a compact integrable (N-1)-dimensional system. We present the action-angle formulation of such models in terms of theradial degree of freedom and the action-angle variables of the angular subsystem. As an example, we construct the spherical and pseudospherical generalization of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz. We demonstrate the superintegrability of these systems and give their hidden constant of motion. Comment: 10 pages; v2: formulae for hidden integrals and two refs. added, typos fixed, published version |
| Databáze: | arXiv |
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