Weak and strong expansions of the generalized q-deformed coherent states approximate eigenfunctions and its resolution of unity
Mathematical Physics
2016-08-31 v3 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1406.0881,
title = {Weak and strong expansions of the generalized q-deformed coherent states approximate eigenfunctions and its resolution of unity},
author = {Sid-Ahmed Yahiaoui and Mustapha Bentaiba},
journal= {arXiv preprint arXiv:1406.0881},
year = {2016}
}
Comments
11 pages