Reduction of the two-body dynamics to a one-body description in classical electrodynamics

Details Reduction of the two-body dynamics to a one-body description in classical electrodynamics Reduction of the two-body dynamics to a one-body description in classical electrodynamics

2000-04-07

arxiv.org/abs/hep-th/0004042v2

Phys.Rev. D62 (2000) 104022

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, revtex; minor changes

Scientific paper

10.1103/PhysRevD.62.104022

We discuss the mapping of the conservative part of two-body electrodynamics onto that of a test charged particle moving in some external electromagnetic field, taking into account recoil effects and relativistic corrections up to second post-Coulombian order. Unlike the results recently obtained in general relativity, we find that in classical electrodynamics it is not possible to implement the matching without introducing external parameters in the effective electromagnetic field. Relaxing the assumption that the effective test particle moves in a flat spacetime provides a feasible way out.

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