Liouville's theorem and the foundation of classical mechanics
Statistical Mechanics
2022-07-14 v4
Abstract
In this article, it is suggested that a pedagogical point of departure in the teaching of classical mechanics is the Liouville theorem. The theorem is interpreted to define the condition that describe the conservation of information in classical mechanics. The Hamilton equations and the Hamilton principle of least action are derived from the Liouville theorem.
Keywords
Cite
@article{arxiv.1905.06185,
title = {Liouville's theorem and the foundation of classical mechanics},
author = {Andreas Henriksson},
journal= {arXiv preprint arXiv:1905.06185},
year = {2022}
}