| Issue |
EPL
Volume 79, Number 6, September 2007
|
|
|---|---|---|
| Article Number | 60002 | |
| Number of page(s) | 3 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/79/60002 | |
| Published online | 21 August 2007 | |
The exact Darwin Lagrangian
Department of Mechanics, KTH - SE-100 44 Stockholm, Sweden
Corresponding author: hanno@mech.kth.se
Received:
2
July
2007
Accepted:
29
July
2007
Darwin (1920) noted that when radiation can be neglected it should be possible to eliminate the radiation degrees of freedom from the action of classical electrodynamics and keep the discrete particle degrees of freedom only. Darwin derived his well-known Lagrangian by series expansion in 
keeping terms up to order 
. Since radiation is due to acceleration the assumption of low speed should not be necessary. A Lagrangian is suggested that neglects radiation without assuming low speed. It cures deficiencies of the Darwin Lagrangian in the ultra-relativistic regime.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 11.10.Ef – Lagrangian and Hamiltonian approach
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.