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One-Dimensional Central-Force Problem for Sommerfeld Sphere in Classical Electrodynamics: Some Numerical Results

1999/01/27 by А. А. Власов, Alexander A. Vlasov, Vlasov, Alexander A.
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Relativity and Gravitational Theory #hep-th #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/9901051

Latex with 4 Latex figs

openalex publication_date 1999/01/27 · arxiv created 1999/02/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Equation of motion of Sommerfeld sphere in the field of Coulomb center is numerically investigated. It is shown that contrary to Lorentz-Dirac equation in the attractive case there are physical solutions. In the repulsive case sphere gains less energy then that should be according to relativistic equation of motion of point charge without radiation force.

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