Relation between Kristensson's and Xu's VSWF normalisation.

Former-commit-id: 4bc21068946f85d1c409e95b70bc2147d442de1e

notes/Scattering and Shit.lyx

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-#LyX 2.0 created this file. For more info see http://www.lyx.org/
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
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+\lyxformat 474
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+\use_package amsmath 1
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+\use_package amssymb 1
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@@ -583,6 +592,46 @@ Definition [K](2.4.6);
 
 \end_layout
 
+\begin_layout Subsection
+Kristensson vs.
+ Xu
+\end_layout
+
+\begin_layout Standard
+As in 
+\begin_inset CommandInset citation
+LatexCommand cite
+after "eq. (36)"
+key "xu_calculation_1996"
+
+\end_inset
+
+ with unnormalised Legendre polynomials:
+\begin_inset Formula 
+\begin{eqnarray*}
+\left(\vect{u/v/w}\right)_{1lm} & = & \left(\mbox{CS}\right)^{m}\sqrt{\frac{2l+1}{4\pi}\frac{\left(l-m\right)!}{\left(l+m\right)!}}\frac{\vect N_{ml}^{(3/1/4)}}{\sqrt{l\left(l+1\right)}}\\
+\left(\vect{u/v/w}\right)_{1lm} & = & \left(\mbox{CS}\right)^{m}\sqrt{\frac{2l+1}{4\pi}\frac{\left(l-m\right)!}{\left(l+m\right)!}}\frac{\vect M_{ml}^{(3/1/4)}}{\sqrt{l\left(l+1\right)}}
+\end{eqnarray*}
+
+\end_inset
+
+where CS is 
+\begin_inset Formula $-1$
+\end_inset
+
+ in Kristensson's text.
+ N.B.
+ be careful about the translation coefficients and 
+\begin_inset CommandInset citation
+LatexCommand cite
+after "eq. (81)"
+key "xu_calculation_1996"
+
+\end_inset
+
+, Xu's text is a bit confusing.
+\end_layout
+
 \begin_layout Subsection
 Relation between Kristensson and Taylor
 \begin_inset CommandInset label
@@ -1245,7 +1294,7 @@ Quantisation of quasistatic modes of a sphere
 \begin_layout Standard
 \begin_inset CommandInset bibtex
 LatexCommand bibtex
-bibfiles "Electrodynamics"
+bibfiles "Electrodynamics,/home/mmn/repo/qpms/Electrodynamics"
 options "plain"
 
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