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Contact geometry in Lagrangean mechanics

Pavol Severa
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Abstract

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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Pavol Severa. 1998-02-25. Contact geometry in Lagrangean mechanics. https://arxiv.org/abs/physics/9802046

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