2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96521In 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.22 pages, Latex 2e, typos correctedMathematical PhysicsHigh Energy Physics - TheoryQuantum Physicstext