A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena
E. Minguzzi - Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Via S. Marta 3, I-50139 Firenze, Italy (email)
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: Friction, non-holonomicity, Lorentz-Abraham-Dirac force.
Received: October 2014; Revised: July 2015; Available Online: October 2015.
2015 Impact Factor.6