Generalized spinning particles on $${\mathcal {S}}^2$$ S 2 in accord with the Bianchi classification

Autor:	Anton Galajinsky
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Zdroj:	European Physical Journal C: Particles and Fields, Vol 81, Iss 3, Pp 1-8 (2021)
Druh dokumentu:	article
ISSN:	1434-6044 1434-6052
DOI:	10.1140/epjc/s10052-021-08993-1
Popis:	Abstract Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of generalized spinning particles on $${\mathcal {S}}^2$$ S 2 , the internal degrees of freedom of which are represented by a 3-vector obeying the structure relations of a three-dimensional real Lie algebra. Extensions involving an external field of the Dirac monopole, or the motion on the group manifold of SU(2), or a scalar potential giving rise to two quadratic constants of the motion are discussed. A procedure how to build similar models, which rely upon real Lie algebras with dimensions $$d=4,5,6$$ d = 4 , 5 , 6 , is elucidated.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/489c0b9bfbe14b24918bb2cc667c7279 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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