On the q-deformed coherent states of a generalized f-oscillator

Adopting the framework of the generalized q-deformed Heisenberg-Weyl algebra U-q((alpha,beta,gamma))(eta(4)), we present a mathematical procedure which leads us to obtain analytical expressions for a general class of q-deformed coherent states associated with the different patterns of the energy spectrum exhibited by the nonlinear f-oscillator. In particular, we establish the properties of a small group of q-deformed coherent states for alpha > gamma > 0 with emphasis on the resolution of unity. As an application of these properties, we investigate the Robertson-Schrodinger uncertainty relation and the squeezing effect for the deformed coordinate and momentum operators, which are defined in terms of the abstract elements of this algebra. Furthermore, we also obtain the Wigner function and the correct quantum-mechanical marginal distributions in phase space.