trated by examples. In the GTD-based model, only nine possible discrete values are used to describe the frequency dependence of the scattering center. Consequently, instead of continuous searching of the frequency-dependence parameters โฃ with the use of an iterative approach, which is quite m consum
On the decomposition of the unitary group and the multiple coupling of angular momenta
โ 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
No coin nor oath required. For personal study only.
โฆ 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. แฎ 1997
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