Vai ai contenuti. | Spostati sulla navigazione | Spostati sulla ricerca | Vai al menu | Contatti | Accessibilità

| Crea un account

Fassò, Francesco - Giacobbe, Andrea - Sansonetto, Nicola (2009) Gauge conservation laws and the momentum equation in nonholonomic mechanics. [Articolo di periodico (online)]

Full text disponibile come:

Documento PDF - Versione sottomessa

Per gentile concessione di:

Abstract (inglese)

The gauge mechanism is a generalization of the momentum map which links conservation laws to symmetry groups of nonholonomic systems. This method has been so far employed to interpret conserved quantities as momenta of vector fields which are sections of the constraint distribution. In order to obtain the largest class of conserved quantities of this type, we extend this method to an over--distribution of the constraint distribution, the so--called R-zero distribution, which encodes the effects that the nonholonomic reaction force has on the conservation laws. We provide examples showing the effectiveness of this generalization. Furthermore, we discuss the Noetherian properties of these conserved quantities, that is, whether and to which extent they depend only on the group, and not on the system. In this context, we introduce a notion of `weak Noetherianity'. Finally, we point out that the gauge mechanism is equivalent to the momentum equation (at least for locally free actions), we generalize the momentum equation to the R-zero distribution, and we introduce a `gauge momentum map' which embodies both methods. For simplicity, we treat only the case of linear constraints, natural Lagrangians, and lifted actions.

Statistiche Download - Aggiungi a RefWorks
Tipo di EPrint:Articolo di periodico (online)
Anno di Pubblicazione:Ottobre 2009
Settori scientifico-disciplinari MIUR:Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Codice ID:2190
Depositato il:27 Ott 2009 10:15
Simple Metadata
Full Metadata
EndNote Format

Download statistics

Solo per lo Staff dell Archivio: Modifica questo record