Coherent States for Generalized Laguerre Functions
High Energy Physics - Theory
2009-11-07 v2 Condensed Matter
Mathematical Physics
math.MP
Abstract
We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investigate the corresponding coherent states by adopting the Gazeau-Klauder approach, where resolution of unity and overlapping properties are examined. Coherent states are found to be similar to those found for a particle trapped in a P\"oschl-Teller potential of the trigonometric type. Some comparisons with Barut-Girardello and Klauder-Perelomov methods are noticed.
Cite
@article{arxiv.hep-th/0109028,
title = {Coherent States for Generalized Laguerre Functions},
author = {Ahmed Jellal},
journal= {arXiv preprint arXiv:hep-th/0109028},
year = {2009}
}
Comments
12 pages, clarifications and references added, misprints corrected