Contact geometry in Lagrangean mechanics
数学物理
2008-11-06 v1 math.MP
摘要
We present a picture of Lagrangean mechanics, free of some unnatural features (such as complete divergences). As a byproduct, a completely natural U(1)-bundle over the phase space appears. The correspondence between classical and quantum mechanics is very clear, e.g. no topological ambiguities remain. Contact geometry is the basic tool.
引用
@article{arxiv.physics/9802046,
title = {Contact geometry in Lagrangean mechanics},
author = {Pavol Severa},
journal= {arXiv preprint arXiv:physics/9802046},
year = {2008}
}
备注
LaTeX, 7 pages, 3 figures, mssymb.sty included