Gold 48

3-j symbol

Gold ID

48

Link

https://sigir21.wmflabs.org/wiki/3-j_symbol#math.99.30

Formula

$\left(\begin{array}{c}j\\ m{m}^{\prime }\end{array}\right):=\sqrt{2j+1}\left(\begin{array}{ccc}j& 0& j\\ m& 0& m^{\prime }\end{array}\right)=(-1{)}^{j-m^{\prime }}{\delta }_{m,-m^{\prime }}$

TeX Source

\begin{pmatrix} j \\ m \quad m'\end{pmatrix}:= \sqrt{2 j + 1}\begin{pmatrix} j & 0 & j \\ m & 0 & m'\end{pmatrix}= (-1)^{j - m'} \delta_{m, -m'}

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

\begin{pmatrix} j \\ m \quad m'\end{pmatrix} : = \sqrt{2 j + 1} \Wignerthreejsym{j}{0}{j}{m}{0}{m'} =(- 1)^{j - m'} \delta_{m, -m'}

Expected (Gold Entry)

\begin{pmatrix} j \\ m \quad m'\end{pmatrix}:= \sqrt{2 j + 1}\begin{pmatrix} j & 0 & j \\ m & 0 & m'\end{pmatrix}= (-1)^{j - m'} \delta_{m, -m'}

Mathematica

Translation

Expected (Gold Entry)

Wigner[j_, m_, m\[Prime]_] := Sqrt[2*j+1] * {{j, 0, j}, {m, 0, m\[Prime]}} = (-1)^(j-m\[Prime])*Subscript[\[Delta], m, -m\[Prime]]

Maple

Translation

Expected (Gold Entry)