DOUBLE GROUPS AND PROJECTIVE REPRESENTATIONS .2. CLEBSCH-GORDON COEFFICIENTS

被引:18
作者
ALTMANN, SL
PALACIO, F
机构
[1] Department of Metallurgy and Science of Materials, University of Oxford, Oxford, Parks Road
[2] Departmento de Fisica Fundamental, Universidad de Zaragoza
关键词
D O I
10.1080/00268977900101841
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
A full example is provided, for the group D6, of the treatment of double groups as projective representations. It is shown how Clebsch-Gordan coefficients can be constructed on using projection operators for the projective representations. Some invariance properties of these coefficients, and their phase factors, are discussed. A full projective factor system is given for D6, as well as the irreducible representations and bases compatible with it and a full table of Clebsch-Gordan coefficients is derived. © 1979 Taylor & Francis Ltd.
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页码:513 / 526
页数:14
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