Some elements of classical mechanics and classical statistical mechanics are formulated in terms of fibre bundles. In the bundle approach the dynamical and distribution functions are replaced by liftings of paths in a suitably chosen bundle. Their time evolution is described by appropriate linear transports along paths in it or, equivalently, by corresponding invariant bundle equations of motion. In particular, the bundle version of the Liouville equation is derived.
- Pub Date:
- September 2001
- Physics - General Physics;
- Physics - Classical Physics
- 10 standard LaTeX 2e pages. The packages AMS-LaTeX and amsfonts are required. For related works, concerning fibre bundle formulation of qunatum physics, please visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/