Coherent States of Systems with Pure Continuous Energy Spectra
Mathematical Physics
2021-07-07 v2 math.MP
Abstract
While dealing with a Hamiltonian with continuous spectrum we use a tridiagonal method involving orthogonal polynomials to construct a set of coherent states obeying a Glauber-type condition. We perform a Bayesian decomposition of the weight function of the orthogonality measure to show that the obtained coherent states can be recast in the Gazeau-Klauder approach. The Hamiltonian of the -wave free particle is treated as an example to illustrate the method.
Keywords
Cite
@article{arxiv.2009.09921,
title = {Coherent States of Systems with Pure Continuous Energy Spectra},
author = {Zouhair Mouayn and Hashim A. Yamani},
journal= {arXiv preprint arXiv:2009.09921},
year = {2021}
}