dorsal/arxiv
View SchemaOn fibre bundle formulation of classical and statistical mechanics
| Authors | Bozhidar Z. Iliev |
|---|---|
| Categories | |
| ArXiv ID | physics/0109033 |
| URL | https://arxiv.org/abs/physics/0109033 |
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.
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"abstract": "Some elements of classical mechanics and classical statistical mechanics are\nformulated in terms of fibre bundles. In the bundle approach the dynamical and\ndistribution functions are replaced by liftings of paths in a suitably chosen\nbundle. Their time evolution is described by appropriate linear transports\nalong paths in it or, equivalently, by corresponding invariant bundle equations\nof motion. In particular, the bundle version of the Liouville equation is\nderived.",
"arxiv_id": "physics/0109033",
"authors": [
"Bozhidar Z. Iliev"
],
"categories": [
"physics.gen-ph",
"physics.class-ph"
],
"title": "On fibre bundle formulation of classical and statistical mechanics",
"url": "https://arxiv.org/abs/physics/0109033"
},
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