Steppingstones in Hamiltonian dynamics

Details Steppingstones in Hamiltonian dynamics Steppingstones in Hamiltonian dynamics

2003-10-28

arxiv.org/abs/physics/0310140v2

Am. J. Phys. 72, 1095 (2004)

Physics

Physics Education

15 pages, 2 figures, submitted to American Journal of Physics, refereed, revised, recommended for publication by referee

Scientific paper

10.1119/1.1737394

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.

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