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arXiv · 1406.0881

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

Sid-Ahmed Yahiaoui·Mustapha Bentaiba
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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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Sid-Ahmed Yahiaoui, Mustapha Bentaiba. 2016-08-30. Weak and strong expansions of the generalized q-deformed coherent states approximate eigenfunctions and its resolution of unity. https://arxiv.org/abs/1406.0881

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