Weak and strong expansions of the generalized q-deformed coherent states approximate eigenfunctions and its resolution of unity

2014/06/03 by Sid-Ahmed Yahiaoui, Yahiaoui, Sid-Ahmed, M. Bentaïba +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1406.0881

11 pages

openalex publication_date 2014/06/03 · arxiv created 2016/08/30 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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