Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems
Classical Physics
2007-05-23 v1 General Physics
Abstract
It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allow us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.
Keywords
Cite
@article{arxiv.physics/0611018,
title = {Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems},
author = {G. F. Torres del Castillo and I. Rubalcava Garcia},
journal= {arXiv preprint arXiv:physics/0611018},
year = {2007}
}
Comments
9 pages, Accepted for publication in Rev. Mex. Fis