On the holomorphic solutions of Hamiltonian equations of motion of point charges

DOI10.1007/S11253-011-0505-0zbMath1381.78005OpenAlexW2020851219MaRDI QIDQ765139

W. I. Skrypnyk

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0505-0

zbMATH Keywords

charged particlesapproximate Darwin HamiltonianDarwin approximation

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Motion of charged particles (78A35) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (8)

Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field ⋮ On exact solutions of Coulomb equation of motion of planar charges ⋮ On holomorphic solutions of the Darwin equations of motion of point charges ⋮ Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges ⋮ Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line ⋮ Mechanical systems with singular equilibria and the Coulomb dynamics of three charges ⋮ On the post-Darwin approximation of the Maxwell-Lorentz equations of motion of point charges in the absence of neutrality ⋮ On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar

Cites Work

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• Slow motion of charges interacting through the Maxwell field
• Dynamics of Charged Particles and their Radiation Field
• Long—time asymptotics for the coupled maxwell—lorentz equations
• Analytic Lagrangian tori for the planetary many-body problem
• The Maxwell-Lorentz system of a rigid charge.

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