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Vector spherical harmonics explicitly 

Former-commit-id: 364bf21096a68c1c9644aa2dee4f2e3f46dcece1
This commit is contained in:
Marek Nečada 2019-07-30 07:24:31 +03:00
parent 134c6e6bc0
commit c51a567f6d
1 changed files with 3 additions and 3 deletions
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6
lepaper/finite.lyx
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@ -326,9 +326,9 @@ vector spherical harmonics
\begin_inset Formula
\begin{align*}
\vsh 1lm & =TODO\\
\vsh 2lm & =fixme\\
\vsh 3lm & =
\vsh 1lm\left(\uvec r\right) & =\frac{1}{\sqrt{l\left(l+1\right)}}\nabla\times\left(\vect r\ush lm\left(\uvec r\right)\right)=\frac{1}{\sqrt{l\left(l+1\right)}}\nabla\ush lm\left(\uvec r\right)\times\vect r,\\
\vsh 2lm\left(\uvec r\right) & =\frac{1}{\sqrt{l\left(l+1\right)}}r\nabla\ush lm\left(\uvec r\right),\\
\vsh 3lm\left(\uvec r\right) & =\uvec r\ush lm\left(\uvec r\right).
\end{align*}
\end_inset