From c51a567f6dcb91645651bc7f3a3af33e05261bea Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Marek=20Ne=C4=8Dada?= <marek@necada.org>
Date: Tue, 30 Jul 2019 07:24:31 +0300
Subject: [PATCH] Vector spherical harmonics explicitly

Former-commit-id: 364bf21096a68c1c9644aa2dee4f2e3f46dcece1
---
 lepaper/finite.lyx | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/lepaper/finite.lyx b/lepaper/finite.lyx
index 731d0cb..b5c651d 100644
--- a/lepaper/finite.lyx
+++ b/lepaper/finite.lyx
@@ -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