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Statements
Y
l
1
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m
1
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θ
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Y
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2
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m
2
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=
∑
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2
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4
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j
l
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l
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Y
l
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m
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¯
3
j
l
1
l
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l
000
,
spherical-harmonic-Y
subscript
𝑙
1
subscript
𝑚
1
𝜃
italic-ϕ
spherical-harmonic-Y
subscript
𝑙
2
subscript
𝑚
2
𝜃
italic-ϕ
subscript
𝑙
𝑚
superscript
2
subscript
𝑙
1
1
2
subscript
𝑙
2
1
2
𝑙
1
4
𝜋
1
2
threej
subscript
𝑙
1
subscript
𝑙
2
𝑙
subscript
𝑚
1
subscript
𝑚
2
𝑚
spherical-harmonic-Y
𝑙
𝑚
𝜃
italic-ϕ
threej
subscript
𝑙
1
subscript
𝑙
2
𝑙
000
{\displaystyle{\displaystyle Y_{{l_{1}},{m_{1}}}\left(\theta,\phi\right)Y_{{l_%
{2}},{m_{2}}}\left(\theta,\phi\right)=\sum_{l,m}\left(\frac{(2l_{1}+1)(2l_{2}+%
1)(2l+1)}{4\pi}\right)^{\frac{1}{2}}\mathit{3j}{l_{1}}{l_{2}}{l}{m_{1}}{m_{2}}%
{m}\overline{Y_{{l},{m}}\left(\theta,\phi\right)}\mathit{3j}{l_{1}}{l_{2}}{l}{%
0}{0}{0},}}
π
{\displaystyle{\displaystyle\pi}}
z
¯
𝑧
{\displaystyle{\displaystyle\overline{\NVar{z}}}}
Y
l
,
m
(
θ
,
ϕ
)
spherical-harmonic-Y
𝑙
𝑚
𝜃
italic-ϕ
{\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},%
\NVar{\phi}\right)}}
3
j
j
1
j
2
j
3
m
1
missing
threej
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
missing
{\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3%
}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}
l
,
l
r
𝑙
subscript
𝑙
𝑟
{\displaystyle{\displaystyle l,l_{r}}}
Identifiers
