The Divine Clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state

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dc.creatorDurran, Richard
dc.creatorNeate, Andrew
dc.creatorTruman, Aubrey
dc.date2007-11-01
dc.date2008-05-09
dc.date.accessioned2026-07-07T09:37:39Z
dc.date.available2026-07-07T09:37:39Z
dc.descriptionWe consider the Bohr correspondence limit of the Schrodinger wave function for an atomic elliptic state. We analyse this limit in the context of Nelson's stochastic mechanics, exposing an underlying deterministic dynamical system in which trajectories converge to Keplerian motion on an ellipse. This solves the long standing problem of obtaining Kepler's laws of planetary motion in a quantum mechanical setting. In this quantum mechanical setting, local mild instabilities occur in the Kelperian orbit for eccentricities greater than 1/\sqrt{2} which do not occur classically.
dc.description42 pages, 18 figures, with typos corrected, updated abstract and updated section 6.5
dc.identifierhttps://arxiv.org/abs/0711.0157
dc.identifierhttp://arxiv.org/abs/0711.0157
dc.identifierJournal of Mathematical Physics, 49, 032102 (2008)
dc.identifierdoi:10.1063/1.2837434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160535
dc.subjectQuantum Physics
dc.titleThe Divine Clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state
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