Nonconservative Lagrangian Mechanics: A generalized function approach
Classical Physics
2008-11-26 v1
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.
Cite
@article{arxiv.physics/0306142,
title = {Nonconservative Lagrangian Mechanics: A generalized function approach},
author = {David W. Dreisigmeyer and Peter M. Young},
journal= {arXiv preprint arXiv:physics/0306142},
year = {2008}
}
Comments
To be published in Journal of Physics A: Mathematical and General, IOP Publishing Ltd. See http://www.iop.org