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.
A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena / Minguzzi, Ettore. - In: JOURNAL OF GEOMETRIC MECHANICS. - ISSN 1941-4889. - STAMPA. - 7:(2015), pp. 473-482. [10.3934/jgm.2015.7.473]
A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena
MINGUZZI, ETTORE
2015
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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.