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DLMF:34.8.E1 - MaRDI portal
Statements
6
j
j
1
j
2
j
3
j
2
j
1
l
3
=
(
-
1
)
j
1
+
j
2
+
j
3
+
l
3
(
4
π
(
2
j
1
+
1
)
(
2
j
2
+
1
)
(
2
l
3
+
1
)
sin
θ
)
1
2
(
cos
(
(
l
3
+
1
2
)
θ
-
1
4
π
)
+
o
(
1
)
)
,
sixj
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑗
2
subscript
𝑗
1
subscript
𝑙
3
superscript
1
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
3
superscript
4
𝜋
2
subscript
𝑗
1
1
2
subscript
𝑗
2
1
2
subscript
𝑙
3
1
𝜃
1
2
subscript
𝑙
3
1
2
𝜃
1
4
𝜋
little-o
1
{\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{j_{2}}{j_{1}}{l_{%
3}}=(-1)^{j_{1}+j_{2}+j_{3}+l_{3}}\*\left(\frac{4}{\pi(2j_{1}+1)(2j_{2}+1)(2l_%
{3}+1)\sin\theta}\right)^{\frac{1}{2}}\*\left(\cos\left((l_{3}+\tfrac{1}{2})%
\theta-\tfrac{1}{4}\pi\right)+o\left(1\right)\right),}}
j
1
,
j
2
,
j
3
≫
l
3
≫
1
much-greater-than
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑙
3
much-greater-than
1
{\displaystyle{\displaystyle j_{1},j_{2},j_{3}\gg l_{3}\gg 1}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
o
(
x
)
little-o
𝑥
{\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
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}}}
Identifiers