A Simple Model of Double Dynamics on Lie Groups

Autor: Patrizia Vitale
Přispěvatelé: G. Marmo, David Martín de Diego, Miguel Muñoz Lecanda, Vitale, Patrizia
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Springer Proceedings in Physics ISBN: 9783030247478
Popis: We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group \(SB(2,\mathbb {C})\), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfel’d double of the above mentioned groups, which describes the dynamics of a system with twice as many degrees of freedom as the two starting partners. Through a gauging procedure of its global symmetries both the rigid rotor and the dual model are recovered.
Databáze: OpenAIRE