In this paper we study the quantum phase properties of "nonlinear coherent states" and "solvable quantum systems with discrete spectra" using the Pegg-Barnett formalism in a unified approach. The presented procedure will then be applied to few special solvable quantum systems with known discrete spectrum as well as to some new classes of nonlinear oscillators with particular nonlinearity functions. Finally the associated phase distributions and their nonclasscial properties such as the squeezing in number and phase operators have been investigated, numerically.keyword: nonlinear coherent states, solvable quantum systems, phase distribution PACS: 42.50. Dv,

In this letter, the "number-phase entropic uncertainty relation" and the "number-phase Wigner function" of generalized coherent states associated to a few solvable quantum systems with nondegenerate spectra are studied. We also investigate time evolution of "number-phase entropic uncertainty" and "Wigner function" of the considered physical systems with the help of temporally stable Gazeau-Klauder coherent states. keyword: solvable quantum systems, nonlinear coherent states, entropic uncertainty relation, number-phase Wigner function PACS: 42.50.Dv, 03.65.-w

In this paper, two distinct classes of generalized deformed Kerr states are introduced by considering the standard and deformed Kerr mediums, when the initial field state that enters the Kerr medium has been prepared in the well-known nonlinear coherent state. Indeed, the conversion of the third-order susceptibility of the (standard) Kerr medium to its deformed counterpart via an intensity-dependent function K(n) is performed. Interestingly, the obtained generalized states are still of f-deformed type, with a special form of the nonlinearity function. Some physical realizations of the proposed approach are presented. Finally, the nonclassicality features, the quantum phase properties and the autocorrelation function of the introduced states are studied numerically.

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In this paper, the generalized coherent state for quantum systems with degenerate spectra is introduced. Then, the nonclassicality features and number-phase entropic uncertainty relation of two particular degenerate quantum systems are studied. Finally, using the Gazeau-Klauder coherent states approach, time evolution of some of the nonclassical properties of the coherent states corresponding to the considered physical systems are discussed.