Two important examples of nonlinear oscillators

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dc.creatorCariñena, José F.
dc.creatorRañada, Manuel F.
dc.creatorSantander, Mariano
dc.date2005-05-10
dc.date.accessioned2026-07-07T04:32:05Z
dc.date.available2026-07-07T04:32:05Z
dc.descriptionWe discuss a classical nonlinear oscillator, which is proved to be a superintegrable system for which the bounded motions are quasiperiodic oscillations and the unbounded (scattering) motions are represented by hyperbolic functions. This oscillator can be seen as a position-dependent mass system and we show a natural quantization prescription admitting a factorization with shape invariance for the $n=1$ case, and then the energy spectrum is found. Other isochronous systems which can also be considered as a generalization of the harmonic oscillator and admit a nonstandard Lagrangian description are also discussed.
dc.identifierhttps://arxiv.org/abs/math-ph/0505028
dc.identifierhttp://arxiv.org/abs/math-ph/0505028
dc.identifierProceedings of 10th International Conference in MOdern GRoup ANalysis (Larnaca, Cyprus, 2004), 39-46
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58063
dc.subjectMathematical Physics
dc.subject37J35
dc.titleTwo important examples of nonlinear oscillators
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