dorsal/arxiv
View SchemaThe exact Darwin Lagrangian
| Authors | Hanno Essen |
|---|---|
| Categories | |
| ArXiv ID | physics/0701324 |
| URL | https://arxiv.org/abs/physics/0701324 |
| DOI | 10.1209/0295-5075/79/60002 |
| Journal | EPL 79 (2007) 60002 |
Abstract
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.
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"abstract": "Darwin (1920) noted that when radiation can be neglected it should be\npossible to eliminate the radiation degrees-of-freedom from the action of\nclassical electrodynamics and keep the discrete particle degrees-of-freedom\nonly. Darwin derived his well known Lagrangian by series expansion in $v/c$\nkeeping terms up to order $(v/c)^2$. Since radiation is due to acceleration the\nassumption of low speed should not be necessary. A Lagrangian is suggested that\nneglects radiation without assuming low speed. It cures deficiencies of the\nDarwin Lagrangian in the ultra-relativistic regime.",
"arxiv_id": "physics/0701324",
"authors": [
"Hanno Essen"
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"physics.plasm-ph",
"physics.gen-ph"
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"doi": "10.1209/0295-5075/79/60002",
"journal_ref": "EPL 79 (2007) 60002",
"title": "The exact Darwin Lagrangian",
"url": "https://arxiv.org/abs/physics/0701324"
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