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The exact Darwin lagrangian
KTH, School of Engineering Sciences (SCI), Mechanics.
2007 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 79, no 6Article in journal (Refereed) Published
Abstract [en]

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 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.

Place, publisher, year, edition, pages
2007. Vol. 79, no 6
Keyword [en]
statistical-mechanics, charged-particles, gauge, model, electrodynamics, retardation, electrons, systems, coulomb, energy
URN: urn:nbn:se:kth:diva-17068DOI: 10.1209/0295-5075/79/60002ISI: 000250409500002ScopusID: 2-s2.0-79051470434OAI: diva2:335111
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-01-19Bibliographically approved

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Essén, Hanno
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