Contact geometry in Lagrangian mechanics
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.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- February 1999
- DOI:
- 10.1016/S0393-0440(98)00037-0
- Bibcode:
- 1999JGP....29..235S