Reduction and Unfolding for Quantum Systems: the Hydrogen Atom
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
In this paper we propose a ``quantum reduction procedure'' based on the reduction of algebras of differential operators on a manifold. We use these techniques to show, in a systematic way, how to relate the hydrogen atom to a family of quantum harmonic oscillators, by the means of the Kustaahneimo-Stiefel fibration.
Keywords
Cite
@article{arxiv.math-ph/0504033,
title = {Reduction and Unfolding for Quantum Systems: the Hydrogen Atom},
author = {A. D'Avanzo and G. Marmo and A. Valentino},
journal= {arXiv preprint arXiv:math-ph/0504033},
year = {2007}
}
Comments
22 pages, Latex 2e, typos corrected