{ "id": "1410.0254", "version": "v1", "published": "2014-10-01T15:04:57.000Z", "updated": "2014-10-01T15:04:57.000Z", "title": "A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena", "authors": [ "E. Minguzzi" ], "comment": "Latex2e, 10 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "A mechanical covariant equation is introduced which retains all the effectingness of the Lagrange equation while being able to describe in a unified way other phenomena including friction, non-holonomic constraints and energy radiation (Lorentz-Abraham-Dirac force equation). A quantization rule adapted to the dissipative degrees of freedom is proposed which does not pass through the variational formulation.", "revisions": [ { "version": "v1", "updated": "2014-10-01T15:04:57.000Z" } ], "analyses": { "keywords": [ "non-holonomic constraints", "unifying mechanical equation", "dissipative phenomena", "applications", "lorentz-abraham-dirac force equation" ], "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.0254M" } } }