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DLMF:34.5.E11 - MaRDI portal
Statements
(
2
j
1
+
1
)
(
(
J
3
+
J
2
-
J
1
)
(
L
3
+
L
2
-
J
1
)
-
2
(
J
3
L
3
+
J
2
L
2
-
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L
1
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)
6
j
j
1
j
2
j
3
l
1
l
2
l
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=
j
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E
(
j
1
+
1
)
6
j
j
1
+
1
j
2
j
3
l
1
l
2
l
3
+
(
j
1
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)
E
(
j
1
)
6
j
j
1
-
1
j
2
j
3
l
1
l
2
l
3
,
2
subscript
𝑗
1
1
subscript
𝐽
3
subscript
𝐽
2
subscript
𝐽
1
subscript
𝐿
3
subscript
𝐿
2
subscript
𝐽
1
2
subscript
𝐽
3
subscript
𝐿
3
subscript
𝐽
2
subscript
𝐿
2
subscript
𝐽
1
subscript
𝐿
1
sixj
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
1
subscript
𝑙
2
subscript
𝑙
3
subscript
𝑗
1
𝐸
subscript
𝑗
1
1
sixj
subscript
𝑗
1
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
1
subscript
𝑙
2
subscript
𝑙
3
subscript
𝑗
1
1
𝐸
subscript
𝑗
1
sixj
subscript
𝑗
1
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
1
subscript
𝑙
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subscript
𝑙
3
{\displaystyle{\displaystyle{(2j_{1}+1)\left((J_{3}+J_{2}-J_{1})(L_{3}+L_{2}-J%
_{1})-2(J_{3}L_{3}+J_{2}L_{2}-J_{1}L_{1})\right)\mathit{6j}{j_{1}}{j_{2}}{j_{3%
}}{l_{1}}{l_{2}}{l_{3}}}\\
=j_{1}E(j_{1}+1)\mathit{6j}{j_{1}+1}{j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{3}}+(j_{1}%
+1)E(j_{1})\mathit{6j}{j_{1}-1}{j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{3}},}}
6
j
j
1
j
2
j
3
l
1
l
sixj
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
1
𝑙
{\displaystyle{\displaystyle\mathit{6j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3%
}}}{\NVar{l_{1}}}{\NVar{l}\)\@add@PDF@RDFa@triples\end{document}}}}
j
,
j
r
𝑗
subscript
𝑗
𝑟
{\displaystyle{\displaystyle j,j_{r}}}
l
,
l
r
𝑙
subscript
𝑙
𝑟
{\displaystyle{\displaystyle l,l_{r}}}
J
r
subscript
𝐽
𝑟
{\displaystyle{\displaystyle J_{r}}}
L
r
subscript
𝐿
𝑟
{\displaystyle{\displaystyle L_{r}}}
E
(
j
)
𝐸
𝑗
{\displaystyle{\displaystyle E(j)}}
Identifiers