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Matrix Products and the Explicit 3, 6, 9, and 12j Coefficients of the Regular Representation of SU(n)
Matrix Products and the Explicit 3, 6, 9, and 12j Coefficients of the Regular Representation of SU(n),10.1063/1.1705141,L. M. Kaplan,M. Resnikoff
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Matrix Products and the Explicit 3, 6, 9, and 12j Coefficients of the Regular Representation of SU(n)
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L. M. Kaplan
,
M. Resnikoff
The explicit Wigner coefficients are determined for the
direct product
of regular representations, (N)⊗(N)=2(N)+…, of SU(n), where N = n2 − 1. Triple products CmCiCm = αFi + βDi, and higherorder products, are calculated, where Ci may be Fi or Di, the N × N
Hermitian matrices
of the regular representation, and m is summed. The coefficients α, β are shown to be 6j symbols, and higherorder products yield the explicit 9j, 12j, symbols. A theorem concerning (3p)j coefficients is proved.
Published in 1967.
DOI:
10.1063/1.1705141
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