Lagrangians and Hamiltonians for one-dimensional systems
数学物理
2009-11-10 v1 math.MP
摘要
An equation is obtained to find the Lagrangian for a one-dimensional autonomous system. The continuity of the first derivative of its constant of motion is assumed. This equation is solved for a generic nonconservative autonomous system that has certain quasi-relativistic properties. A new method based on a Taylor series expansion is used to obtain the associated Hamiltonian for this system. These results have the usual expression for a conservative system when the dissipation parameter goes to zero. An example of this approach is given.
引用
@article{arxiv.math-ph/0406059,
title = {Lagrangians and Hamiltonians for one-dimensional systems},
author = {G. Gonzalez},
journal= {arXiv preprint arXiv:math-ph/0406059},
year = {2009}
}
备注
To be published in the International Journal of Theoretical Physics