Effective quantum equations for the semiclassical description of the Hydrogen atom

Details Effective quantum equations for the semiclassical description of the Hydrogen atom Effective quantum equations for the semiclassical description of the Hydrogen atom

2011-10-14

arxiv.org/abs/1110.3337v2

Physics

Quantum Physics

22 pages, 28 Figures, PACS numbers: 03.65.-w, 03.65.Sq The full document was restructured and rewritten, some subsections were

Scientific paper

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.

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