threej symbols
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11: 34.4 Definition: Symbol
§34.4 Definition: Symbol
►The symbol is defined by the following double sum of products of symbols: ►
34.4.1
►where the summation is taken over all admissible values of the ’s and ’s for each of the four
symbols; compare (34.2.2) and (34.2.3).
►Except in degenerate cases the combination of the triangle inequalities for the four
symbols in (34.4.1) is equivalent to the existence of a tetrahedron (possibly degenerate) with edges of lengths ; see Figure 34.4.1.
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12: 16.24 Physical Applications
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§16.24(iii) , , and Symbols
►The symbols, or Clebsch–Gordan coefficients, play an important role in the decomposition of reducible representations of the rotation group into irreducible representations. …13: 34.7 Basic Properties: Symbol
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34.7.4
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14: 34.5 Basic Properties: Symbol
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34.5.23
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15: 16.4 Argument Unity
16: 16.7 Relations to Other Functions
17: 34 3j, 6j, 9j Symbols
Chapter 34 Symbols
…18: Errata
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Section 34.1
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Section 34.1
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Equation (34.7.4)
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Equation (34.3.7)
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The relation between Clebsch-Gordan and symbols was clarified, and the sign of was changed for readability. The reference Condon and Shortley (1935) for the Clebsch-Gordan coefficients was replaced by Edmonds (1974) and Rotenberg et al. (1959) and the references for , , symbols were made more precise in §34.1.
34.7.4
Originally the third symbol in the summation was written incorrectly as
Reported 2015-01-19 by Yan-Rui Liu.
34.3.7
In the original equation the prefactor of the above 3j symbol read . It is now replaced by its correct value .
Reported 2014-06-12 by James Zibin.