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Distributed Charge in a Coulomb Potential Well

2014/03/13 by Andrey Vasilyev, Vasilyev, Andrey
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Earthquake Detection and Analysis #FOS: Physical sciences #Geophysical and Geoelectrical Methods #Geophysics and Sensor Technology #physics.class-ph

paper · pdf · doi:10.48550/arxiv.1403.3272

16 pages, 3 figures

arxiv created 2014/03/13 · openalex publication_date 2014/03/13 · arxiv updated 2014/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The behavior of a distributed charge in a Coulomb potential well is considered. It is shown that elements of a distributed charge can move along different trajectories, thus forming actually motion of a charge wave. Propagation over different trajectories is possible because elements of charge have on these trajectories the same energy. The overall velocity of motion of a charge wave is one half the velocity of individual elements in the wave, and the wave can move only along the φ axis of a spherical coordinate system. The following features in the motion of a distributed charge are stressed: each point of the charge is a center from which elements of the charge propagate with the same velocity within the solid angle 2π. The set of spherical functions needed to describe a distributed charge is specified, and it is shown that a charge cannot have spherical symmetry.

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