2004/12/03 by Jayme De Luca, De Luca, Jayme
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #physics.atom-ph
paper · pdf · doi:10.48550/arxiv.physics/0412022
6 pages double column--1 Table inside the text
openalex publication_date 2004/12/03 · arxiv created 2004/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the stability of the circular orbits of the electromagnetic two-body problem of classical electrodynamics. We introduce the concept of resonant dissipation, i.e. a motion that radiates the center-of-mass energy while the interparticle distance performs bounded oscillations about a metastable orbit. The stability mechanism is established by the existence of a quartic resonant constant generated by the stiff eigenvalues of the linear stability problem. This constant bounds the particles together during the radiative recoil. The condition of resonant dissipation predicts angular momenta for the metastable orbits in reasonable agreement with the Bohr atom. The principal result is that the emission lines agree with the predictions of quantum electrodynamics (QED) with 1 percent average error even up to the 40th line. Our angular momenta depend logarithmically on the mass of the heavy body, such that the deuterium and the muonium atoms have essentially the same angular momenta, in agreement with QED. Analogously to QED, our stability analysis naturally uses the eigenvalues of an infinite-dimensional linear operator; the infinite-dimensionality is brought in by the delay of the electromagnetic interaction.