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f-Oscillators and Nonlinear Coherent States

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.

preprint1996arXivOpen access
V. I. Man'koG. MarmoE. C. G. SudarshanF. Zaccaria
quant-ph
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Open access4 authors1 topic
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V. I. Man'koG. MarmoE. C. G. SudarshanF. Zaccaria

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