On the nonradiating motion of point charges
arXiv:0805.1862 · doi:10.1088/1751-8113/41/33/335401
Abstract
We investigate the possible existence of nonradiating motions of systems of point charges, according to classical electrodynamics with retarded potentials. We prove that two point particles of arbitrary electric charges cannot move for an infinitely long time within a finite region of space without radiating electromagnetic energy. We show however with an example that nonradiating accelerated motions of systems of point charges do in general exist.
10 pages. Revised version with minor corrections
References in corpus (6)
- The critical manifold of the Lorentz-Dirac equation
- Unfamiliar trajectories for a relativistic particle in a Kepler or Coulomb potential
- Variational principle and energy-momentum tensor for relativistic Electrodynamics of point charges
- Classical light dispersion theory in a regular lattice
- Stiff three-frequency orbit of the hydrogen atom
- Classical electrodynamics of point charges