A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena
Mathematical Physics
2015-10-26 v2 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.
Keywords
Cite
@article{arxiv.1410.0254,
title = {A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:1410.0254},
year = {2015}
}
Comments
Latex2e, 10 pages. V2: some corrections in Sect. 3