New nonlinear coherent states associated with inverse bosonic and f-deformed ladder operators

Using the nonlinear coherent states method, a formalism for the construction of the coherent states associated with 'inverse bosonic operators' and their dual family has been proposed. Generalizing the approach, the 'inverse of f-deformed ladder operators' corresponding to the nonlinear coherent states in the context of quantum optics and the associated coherent states have been introduced. Finally, after applying the proposal to a few known physical systems, particular nonclassical features as sub-Poissonian statistics and the squeezing of the quadratures of the radiation field corresponding to the introduced states have been investigated.