Generalized spinning particles on S2 in accord with the Bianchi classification

Bibliographic Details
Parent link:European Physical Journal C
Vol. 81, iss. 3.— 2021.— [206, 8 p.]
Main Author: Galajinsky A. V. Anton Vladimirovich
Corporate Author: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Summary:Title screen
Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of generalized spinning particles on S2S2, 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=4,5,6d=4,5,6, is elucidated.
Language:English
Published: 2021
Subjects:
Online Access:https://doi.org/10.1140/epjc/s10052-021-08993-1
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665592