On fibre bundle formulation of classical and statistical mechanics
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 September 2001
 arXiv:
 arXiv:physics/0109033
 Bibcode:
 2001physics...9033I
 Keywords:

 Physics  General Physics;
 Physics  Classical Physics
 EPrint:
 10 standard LaTeX 2e pages. The packages AMSLaTeX 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/