Contact geometry in Lagrangean mechanics

Physics – Mathematical Physics

Scientific paper

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LaTeX, 7 pages, 3 figures, mssymb.sty included

Scientific paper

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.

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