dorsal/arxiv
View SchemaNonconservative Lagrangian Mechanics: A generalized function approach
| Authors | David W. Dreisigmeyer, Peter M. Young |
|---|---|
| Categories | |
| ArXiv ID | physics/0306142 |
| URL | https://arxiv.org/abs/physics/0306142 |
| DOI | 10.1088/0305-4470/36/30/307 |
| Journal | J.Phys.A36:8297-8310,2003 |
Abstract
We reexamine the problem of having nonconservative equations of motion arise from the use of a variational principle. In particular, a formalism is developed that allows the inclusion of fractional derivatives. This is done within the Lagrangian framework by treating the action as a Volterra series. It is then possible to derive two equations of motion, one of these is an advanced equation and the other is retarded.
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"abstract": "We reexamine the problem of having nonconservative equations of motion arise\nfrom the use of a variational principle. In particular, a formalism is\ndeveloped that allows the inclusion of fractional derivatives. This is done\nwithin the Lagrangian framework by treating the action as a Volterra series. It\nis then possible to derive two equations of motion, one of these is an advanced\nequation and the other is retarded.",
"arxiv_id": "physics/0306142",
"authors": [
"David W. Dreisigmeyer",
"Peter M. Young"
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"doi": "10.1088/0305-4470/36/30/307",
"journal_ref": "J.Phys.A36:8297-8310,2003",
"title": "Nonconservative Lagrangian Mechanics: A generalized function approach",
"url": "https://arxiv.org/abs/physics/0306142"
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