Weak and strong expansions of the generalized q-deformed coherent states   approximate eigenfunctions and its resolution of unity
  The aim of this paper is to provide an explicit expressions for the generalized q-deformed harmonic oscillator coherent states obtained in terms of a weak and strong behavior expansions. We first use the weak (s --> 0) deformed version of q-boson annihilation operator to solve Barut-Girardello's eigenvalues coherent states equation for the generalized q-deformed harmonic oscillator. In strong behavior limit (s --> 1) the previous result is resumed using the variational perturbation theory. We also describe the construction of their resolution of unity. 
Sid-Ahmed Yahiaoui and Mustapha Bentaiba
math-ph math.MP