f-Oscillators and Nonlinear Coherent States
Quantum Physics
2016-09-08 v1
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.
Cite
@article{arxiv.quant-ph/9612006,
title = {f-Oscillators and Nonlinear Coherent States},
author = {V. I. Man'ko and G. Marmo and E. C. G. Sudarshan and F. Zaccaria},
journal= {arXiv preprint arXiv:quant-ph/9612006},
year = {2016}
}
Comments
Latex, 32 pages, accepted by Physica Scripta