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On the decomposition of the unitary group and the multiple coupling of angular momenta

โœ Scribed by Yaxiong Yu; Pancracio Palting; Ying-Nan Chiu


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
181 KB
Volume
62
Category
Article
ISSN
0020-7608

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โœฆ Synopsis


The decomposition of the direct product group, S m U , for a system of n N nidentical particles having access to N one-particle states is considered from the point of view of its reduction to invariant subspaces. A double-factor matrix approach is developed in terms of the frequency of occurrence of the invariant subspaces and the frequency of configurations arising from the set of one-particle states. Simple formulas are obtained for both these frequencies. It is shown that this approach is especially useful when treating the problem of multiple coupling of the quantum numbers of the states. แฎŠ 1997


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