dorsal/arxiv
View Schemaf-Oscillators and Nonlinear Coherent States
| Authors | V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, F. Zaccaria |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9612006 |
| URL | https://arxiv.org/abs/quant-ph/9612006 |
| DOI | 10.1088/0031-8949/55/5/004 |
| Journal | Phys.Scripta55:528,1997 |
Abstract
The notion of f-oscillators generalizing q-oscillators is introduced. For classical and quantum cases, an interpretation of the f-oscillator is provided as corresponding to a special nonlinearity of vibration for which the frequency of oscillation depends on the energy. The f-coherent states (nonlinear coherent states) generalizing q-coherent states are constructed. Applied to quantum optics, photon distribution function, photon number means, and dispersions are calculated for the f-coherent states as well as the Wigner function and Q-function. As an example, it is shown how this nonlinearity may affect the Planck distribution formula.
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"abstract": "The notion of f-oscillators generalizing q-oscillators is introduced. For\nclassical and quantum cases, an interpretation of the f-oscillator is provided\nas corresponding to a special nonlinearity of vibration for which the frequency\nof oscillation depends on the energy. The f-coherent states (nonlinear coherent\nstates) generalizing q-coherent states are constructed. Applied to quantum\noptics, photon distribution function, photon number means, and dispersions are\ncalculated for the f-coherent states as well as the Wigner function and\nQ-function. As an example, it is shown how this nonlinearity may affect the\nPlanck distribution formula.",
"arxiv_id": "quant-ph/9612006",
"authors": [
"V. I. Man\u0027ko",
"G. Marmo",
"E. C. G. Sudarshan",
"F. Zaccaria"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0031-8949/55/5/004",
"journal_ref": "Phys.Scripta55:528,1997",
"title": "f-Oscillators and Nonlinear Coherent States",
"url": "https://arxiv.org/abs/quant-ph/9612006"
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