Reduction and Unfolding for Quantum Systems: the Hydrogen Atom

Details Reduction and Unfolding for Quantum Systems: the Hydrogen Atom Reduction and Unfolding for Quantum Systems: the Hydrogen Atom

2005-04-08

arxiv.org/abs/math-ph/0504033v2

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 1043-1062

Physics

Mathematical Physics

22 pages, Latex 2e, typos corrected

Scientific paper

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.

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