Contact geometry in Lagrangian mechanics |
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| Institution: | 1. CNRS - LMD - IPSL, Ecole Normale Supérieure de Paris, 24 Rue Lhomond 75005 Paris, France;2. School of Science and Engineering, Waseda University, Okubo, Shinjuku, Tokyo 169-8555, Japan |
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| Abstract: | We present a picture of Lagrangian 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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