From physical principles to classical Hamiltonian mechanics
Classical Physics
2014-10-02 v2
Abstract
We derive the Hamiltonian formulation of classical mechanics directly, without reference to Lagrangian mechanics. We start from the definition of states in terms of labels used to identify them, and show how, under a deterministic and reversible process, the conservation of the cardinality of the labels leads to Hamilton's equations.
Cite
@article{arxiv.1407.4717,
title = {From physical principles to classical Hamiltonian mechanics},
author = {Gabriele Carcassi},
journal= {arXiv preprint arXiv:1407.4717},
year = {2014}
}
Comments
5 pages; reworked definitions in section 2