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Article
The exact Darwin Lagrangian
| Authors: |
Essén, H. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Europhys. Lett. |
| Volume: |
79
6002- 1-3 |
| Year: |
2007 |
AbstractDarwin (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 $v/c$ keeping terms up to order $(v/c)^2$. 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.
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