ninej symbols

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11—15 of 15 matching pages

11: 16.7 Relations to Other Functions

… ►For

\mathit{3j}

\mathit{6j}

\mathit{9j}

symbols see Chapter 34. …

14: 34.3 Basic Properties: $\mathit{3j}$ Symbol

… ►Similar conventions apply to all subsequent summations in this chapter. …

The relation between Clebsch-Gordan and $\mathit{3j}$ symbols was clarified, and the sign of $m_{3}$ 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 $\mathit{3j}$ , $\mathit{6j}$ , $\mathit{9j}$ symbols were made more precise in §34.1.

… ►

Section 34.1

The reference for Clebsch-Gordan coefficients, Condon and Shortley (1935), was replaced by Edmonds (1974) and Rotenberg et al. (1959). The references for $\mathit{3j}$ , $\mathit{6j}$ , $\mathit{9j}$ symbols were made more precise.

… ►

Equation (34.7.4)

34.7.4

\begin{pmatrix}j_{13}&j_{23}&j_{33}\\ m_{13}&m_{23}&m_{33}\end{pmatrix}\begin{Bmatrix}j_{11}&j_{12}&j_{13}\\ j_{21}&j_{22}&j_{23}\\ j_{31}&j_{32}&j_{33}\end{Bmatrix}=\sum_{m_{r1},m_{r2},r=1,2,3}\begin{pmatrix}j% _{11}&j_{12}&j_{13}\\ m_{11}&m_{12}&m_{13}\end{pmatrix}\*\begin{pmatrix}j_{21}&j_{22}&j_{23}\\ m_{21}&m_{22}&m_{23}\end{pmatrix}\begin{pmatrix}j_{31}&j_{32}&j_{33}\\ m_{31}&m_{32}&m_{33}\end{pmatrix}\*\begin{pmatrix}j_{11}&j_{21}&j_{31}\\ m_{11}&m_{21}&m_{31}\end{pmatrix}\begin{pmatrix}j_{12}&j_{22}&j_{32}\\ m_{12}&m_{22}&m_{32}\end{pmatrix}

Originally the third $\mathit{3j}$ symbol in the summation was written incorrectly as $\begin{pmatrix}j_{31}&j_{32}&j_{33}\\ m_{13}&m_{23}&m_{33}\end{pmatrix}.$

Reported 2015-01-19 by Yan-Rui Liu.

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ninej symbols

11—15 of 15 matching pages

11: 16.7 Relations to Other Functions

12: 34 3j, 6j, 9j Symbols

Chapter 34 $\mathit{3j},\mathit{6j},\mathit{9j}$ Symbols

13: 16.4 Argument Unity

14: 34.3 Basic Properties: $\mathit{3j}$ Symbol

15: Errata

ninej symbols

11—15 of 15 matching pages

11: 16.7 Relations to Other Functions

12: 34 3j, 6j, 9j Symbols

Chapter 34 3 ⁢ j , 6 ⁢ j , 9 ⁢ j Symbols

13: 16.4 Argument Unity

14: 34.3 Basic Properties: 3 ⁢ j Symbol

15: Errata

Chapter 34 $\mathit{3j},\mathit{6j},\mathit{9j}$ Symbols

14: 34.3 Basic Properties: $\mathit{3j}$ Symbol