Effective quantum equations for the semiclassical description of the Hydrogen atom
Quantum Physics
2012-03-23 v2 General Relativity and Quantum Cosmology
Abstract
We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the system as a system of infinite many classical equations for expectation values of configuration variables, their moments and quantum dispersions. It also provides a semiclassical description of the orbits and the evolution of observables and spreadings and their back-reaction on the evolution.
Keywords
Cite
@article{arxiv.1110.3337,
title = {Effective quantum equations for the semiclassical description of the Hydrogen atom},
author = {Guillermo Chacón-Acosta and Héctor H. Hernández},
journal= {arXiv preprint arXiv:1110.3337},
year = {2012}
}
Comments
22 pages, 28 Figures, PACS numbers: 03.65.-w, 03.65.Sq The full document was restructured and rewritten, some subsections were removed and 12 figures were added