Steppingstones in Hamiltonian dynamics
物理教育
2009-11-10 v2 经典物理
摘要
Easy steps through essential Hamiltonian dynamics are outlined, from necessary definitions of Poisson brackets and canonical transformations, to a quick proof that Hamiltonian evolution is made by canonical transformations, the quickest proof of Liouville's theorem, and on to Poincare-Cartan integral invariants and completely integrable dynamics, making room, providing tools, and setting the stage for more recent developments.
引用
@article{arxiv.physics/0310140,
title = {Steppingstones in Hamiltonian dynamics},
author = {Thomas F. Jordan},
journal= {arXiv preprint arXiv:physics/0310140},
year = {2009}
}
备注
15 pages, 2 figures, submitted to American Journal of Physics, refereed, revised, recommended for publication by referee