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Contact geometry in Lagrangian mechanics

✍ Scribed by Pavol Ševera

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
446 KB
Volume
29
Category
Article
ISSN
0393-0440

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✦ Synopsis

We present a picture of Lagrangian mechanics, free of some unnatural features (such as complete divergences). As a byproduct, a completely natural U (l)-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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