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Scientific Software
Takin
mag-core
Commits
f35db047
Commit
f35db047
authored
Jul 13, 2018
by
Tobias WEBER
Browse files
started with formula collection
parent
25542386
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2
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.gitignore
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f35db047
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@@ -45,3 +45,8 @@ build/**
cliparser_impl.*
clilexer_impl.*
stack.hh
# Temporary tex files
*.log
*.aux
*.pdf
doc/formulas/formulas.tex
0 → 100644
View file @
f35db047
%
% collection of useful formulas
% @author Tobias Weber <tweber@ill.fr>
% @date 13-jul-2018
% @license see 'LICENSE' file
%
\documentclass
{
article
}
\usepackage
[a4paper]
{
geometry
}
\geometry
{
tmargin=2.5cm, bmargin=2.5cm, lmargin=2cm, rmargin=2cm
}
\begin{document}
Collection of useful formulas, T. Weber, July 13, 2018.
\section
{
Scattering Triangle
}
\subsection*
{
Scattering Angle
$
a
_
4
$}
\begin{equation}
\left
| Q
\right
> =
\left
| k
_
i
\right
> -
\left
| k
_
f
\right
>
\\
\end{equation}
\begin{equation}
\left
< Q | Q
\right
> =
\left
(
\left
< k
_
i
\right
| -
\left
< k
_
f
\right
|
\right
)
\cdot
\left
(
\left
| k
_
i
\right
> -
\left
| k
_
f
\right
>
\right
)
\end{equation}
\begin{equation}
\left
< Q | Q
\right
> =
\left
< k
_
i | k
_
i
\right
> +
\left
< k
_
f | k
_
f
\right
> - 2
\left
< k
_
i | k
_
f
\right
>
\end{equation}
\begin{equation}
Q
^
2 = k
_
i
^
2 + k
_
f
^
2 - 2 k
_
i k
_
f
\cos
a
_
4
\end{equation}
\begin{equation}
a
_
4 =
\arccos
\left
(
\frac
{
k
_
i
^
2 + k
_
f
^
2 - Q
^
2
}{
2 k
_
i k
_
f
}
\right
)
\end{equation}
\subsection*
{
Rocking Angle
$
a
_
3
$}
\end{document}
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