Abstract
The notion of f-oscillators generalizing q-oscillators is discussed. For the 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 the oscillation depends on the energy. The f-coherent states generalizing the q-coherent states are constructed. Applied to quantum optics, the photon distribution function and photon number means and dispersions are calculated for the f-coherent states as well as the Wigner-Moyal function and Q-function. As an example, it is shown how this nonlinearity may affect the Planck's distribution formula.
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López-Peña, R., Man'ko, V.I., Marmo, G. et al. Photon distribution in nonlinear coherent states. J Russ Laser Res 21, 305–316 (2000). https://doi.org/10.1007/BF02515355
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DOI: https://doi.org/10.1007/BF02515355