f-Oscillators and nonlinear coherent states

Man'ko, V. I. ; Marmo, G. ; Sudarshan, E. C. G. ; Zaccaria, F. (1997) f-Oscillators and nonlinear coherent states Physica Scripta, 55 (5). pp. 528-541. ISSN 0031-8949

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Official URL: http://iopscience.iop.org/1402-4896/55/5/004

Related URL: http://dx.doi.org/10.1088/0031-8949/55/5/004


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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Source:Copyright of this article belongs to Royal Swedish Academy of Sciences.
ID Code:50979
Deposited On:27 Jul 2011 12:59
Last Modified:18 May 2016 05:05

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