论文标题
根据比安奇分类，在2个球上旋转颗粒
Spinning particles on 2-sphere in accord with the Bianchi classification
论文作者
论文摘要
通过自旋自由度扩展的超概述力学的最新研究，我们在2个球体上构建了最低旋转颗粒的可旋转颗粒模型，其自由度的自由度由3矢量来表示3D真实lie代数的结构关系。讨论了涉及狄拉克单子外部场的概括，或者讨论了SU（2）的组歧管上的运动，或者讨论了标量势能产生运动的两个二次常数。阐明了如何构建类似扩展的过程，该程序依赖于d = 4,5,6真实的代数。
Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of spinning particles on 2-sphere, the spin degrees of freedom of which are represented by a 3-vector obeying the structure relations of a 3d real Lie algebra. Generalisations 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 extensions, which rely upon d=4,5,6 real Lie algebras, is elucidated.
