Classical position probability densities for spherically symmetric potentials

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dc.creatorCurtis, Lorenzo J.
dc.creatorEllis, David G.
dc.date2005-01-20
dc.date.accessioned2026-07-07T05:54:00Z
dc.date.available2026-07-07T05:54:00Z
dc.descriptionA simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and requires only elementary algebra and one tabulated integral. The method is applied to compute the distributions for the Kepler-Coulomb and isotropic harmonic oscillator potentials. Formulas are also deduced for the average values for powers of the radial coordinate, and applied to describe perturbations to these systems. The classical results are also compared with quantum mechanical calculations using the Einstein-Brillouin-Keller semiclassical quantization.
dc.description14 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/physics/0501111
dc.identifierhttp://arxiv.org/abs/physics/0501111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86828
dc.subjectPhysics Education
dc.titleClassical position probability densities for spherically symmetric potentials
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