Construction of coherent states for Morse potential: A su(2)-like approach
High Energy Physics - Theory
2020-05-26 v1 Quantum Physics
Abstract
We propose a generalized su(2) algebra that perfectly describes the discrete energy part of the Morse potential. Then, we examine particular examples and the approach can be applied to any Morse oscillator and to practically any physical system whose spectrum is finite. Further, we construct the Klauder coherent state for Morse potential satisfying the resolution of identity with a positive measure, obtained through the solution of truncated Stieltjes moment problem. The time evolution of the uncertainty relation of the constructed coherent states is analyzed. The uncertainty relation is more localized for small values of radius of convergence.
Keywords
Cite
@article{arxiv.2005.04302,
title = {Construction of coherent states for Morse potential: A su(2)-like approach},
author = {Abdessamad Belfakir and Yassine Hassouni and Evaldo M F Curado},
journal= {arXiv preprint arXiv:2005.04302},
year = {2020}
}
Comments
12 pages, 5 figures, To appear in Physics Letters A