An extended Lagrangian formalism
Classical Physics
2018-02-15 v1 Mathematical Physics
math.MP
Abstract
A simple formal procedure makes the main properties of the lagrangian binomial extendable to functions depending to any kind of order of the time--derivatives of the lagrangian coordinates. Such a broadly formulated binomial can provide the lagrangian components, in the classical sense of the Newton's law, for a quite general class of forces. At the same time, the generalized equations of motions recover some of the classical alternative formulations of the Lagrangian equations.
Cite
@article{arxiv.1802.05041,
title = {An extended Lagrangian formalism},
author = {Federico Talamucci},
journal= {arXiv preprint arXiv:1802.05041},
year = {2018}
}