Virial theorem in quasi-coordinates and Lie algebroid formalism
Mathematical Physics
2016-08-11 v2 math.MP
Abstract
In this paper, the geometric approach to the virial theorem developed in \cite{CFR12} is written in terms of quasi-velocities (see \cite{CNCS07}). A generalization of the virial theorem for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid.
Keywords
Cite
@article{arxiv.1405.6532,
title = {Virial theorem in quasi-coordinates and Lie algebroid formalism},
author = {José F. Cariñena and Irina Gheorghiu and Eduardo Martínez and Patrícia Santos},
journal= {arXiv preprint arXiv:1405.6532},
year = {2016}
}
Comments
11 pages