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Stochastic mechanics and the Kepler problem
Phys. Rev. D 33, 2916 – Published 15 May, 1986
DOI: https://doi.org/10.1103/PhysRevD.33.2916
Abstract
The stochastic mechanics of Nelson and Guerra is formulated for the hydrogen atom. We demonstrate that this simple quantum system can be described in terms of three independent Gaussian Markov processes which are driven (controlled) by the classical Kepler problem. It reveals a manifest connection between the classical and quantized versions of the Kepler problem.
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