Photon distribution in nonlinear coherent states

López-Peña, R. ; Man'ko, V. I. ; Marmo, G. ; Sudarshan, E. C. G. ; Zaccaria, F. (2000) Photon distribution in nonlinear coherent states Journal of Russian Laser Research, 21 (3). pp. 305-316. ISSN 1071-2836

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Official URL: http://www.springerlink.com/content/47uu71685375v5...

Related URL: http://dx.doi.org/10.1007/BF02515355

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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