Representations ofSO(p+q) andO(p) with an application to the shapes of8,9Li

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1994 English Publisher:Springer Science and Business Media LLCJournal:International Journal of Theoretical Physics, volume 33, pages 1,841-1,859 (issn: 0020-7748, eissn: 1572-9575,

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Authors: J. A. de Wet;

doi: 10.1007/bf00671028

Representations ofSO(p+q) andO(p) with an application to the shapes of8,9Li

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Abstract

It is easy to show that the symmetry groups governing a system ofZ protons andN neutrons areSO(p+q) andO(p), wherep, q are related toZ, N and the symmetry groups are transitive on a Grassmann manifoldGp,q. In this paper the general representations ofSO(p+q) andO(p) are found and used to describe the geodesics onGp,q for the nuclear manifolds of the neutron rich-elements8,9Li.

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