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arXiv · 1410.0254

A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena

E. Minguzzi
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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.

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E. Minguzzi. 2014-10-01. A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena. https://doi.org/10.3934/jgm.2015.7.473

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