Post-Coulombian dynamics at order c(-3)

Authors
Citation
M. Kunze et H. Spohn, Post-Coulombian dynamics at order c(-3), J NONLIN SC, 11(5), 2001, pp. 321-396
Citations number
22
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NONLINEAR SCIENCE
ISSN journal
0938-8974 → ACNP
Volume
11
Issue
5
Year of publication
2001
Pages
321 - 396
Database
ISI
SICI code
0938-8974(200109/10)11:5<321:PDAOC>2.0.ZU;2-0
Abstract
We study the dynamics of N charges interacting with the Maxwell field. If t heir initial velocities are small compared to the velocity of light, c, the n in lowest order their motion is governed by the static Coulomb Lagrangian . We investigate higher-order corrections with an explicit control on the e rror terms. The Darwin correction, order \ upsilon /c \ (2), has been prove d previously. In this contribution we obtain the dissipative corrections du e to radiation damping, which are of order \ upsilon /c \ (3) relative to t he Coulomb dynamics. If all particles have the same charge-to-mass ratio, t he dissipation would vanish at that order.