Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. II. Use of modification rules
Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. II. Use of modification rules
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SU(n)⊃SO(n) 和 Littlewood 分支规则 II 的状态标记问题的规范解决方案。
DOI：
10.1088/0305-4470/17/4/018
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
C. Quesne
中科院分区：
文献类型：
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作者：
C. Quesne
关于pt，见同上，第16卷，第2095页(1983)。在第一部分中，证明了当d(1/2n)时，Littlewood(1950)关于U(N)的分支规则(1950)包含/隐含O(N)，必须用Newell(1951)的修正规则来补充。给出了SU(2v+1)和SU(2v)的(v+1)行不可约表示的状态标号问题的显式解，并直接反映了Littlewood修正分枝规则的运算.然后概述了对更高d值的推广。
For pt.I see ibid., vol.16, p.2095 (1983). In part I it was shown that when d (1/2n) case, where Littlewood's branching rule (1950) for U(n) contains/implies O(n) has to be supplemented with Newell's modification rules (1951). The explicit solution of the state labelling problem for (v+1)-row irreducible representations of both SU(2v+1) and SU(2v) is given and is shown to reflect the operation of Littlewood's modified branching rule in a direct way. The generalisation to higher d values is then outlined.