dorsal/arxiv
View SchemaDeformations and Nonlinear Systems
| Authors | V. I. Man'ko, G. Marmo, F. Zaccaria |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703020 |
| URL | https://arxiv.org/abs/quant-ph/9703020 |
| Journal | Rend.Sem.Mat.Univ.Politec.Torino 54 (1996) 337-352 |
Abstract
The q-deformation of harmonic oscillators is shown to lead to q-nonlinear vibrations. The examples of q-nonlinearized wave equation and Schr\"odinger equation are considered. The procedure is generalized to broader class of nonlinearities related to other types of deformations. The nonlinear noncanonical transforms used in the deformation procedure are shown to preserve in some cases the linear dynamical equations, for instance, for the harmonic oscillators. The nonlinear coherent states and some physical aspects of the deformations are reviewed.
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"abstract": "The q-deformation of harmonic oscillators is shown to lead to q-nonlinear\nvibrations. The examples of q-nonlinearized wave equation and Schr\\\"odinger\nequation are considered. The procedure is generalized to broader class of\nnonlinearities related to other types of deformations. The nonlinear\nnoncanonical transforms used in the deformation procedure are shown to preserve\nin some cases the linear dynamical equations, for instance, for the harmonic\noscillators. The nonlinear coherent states and some physical aspects of the\ndeformations are reviewed.",
"arxiv_id": "quant-ph/9703020",
"authors": [
"V. I. Man\u0027ko",
"G. Marmo",
"F. Zaccaria"
],
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"journal_ref": "Rend.Sem.Mat.Univ.Politec.Torino 54 (1996) 337-352",
"title": "Deformations and Nonlinear Systems",
"url": "https://arxiv.org/abs/quant-ph/9703020"
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