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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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2010-11-09 02:15:20 +00:00
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% have problems LaTeXing this file, please contact
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% the documentation team
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% email: lyx-docs@lists.lyx.org
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\pdf_title "Feynman Diagrams"
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\index Index
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\shortcut idx
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\color #008000
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\end_index
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\end_header
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\begin_body
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\begin_layout Title
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Diagrammes de Feynman
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status collapsed
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Traduction initiale Jean-Pierre Chrétien - février 2011
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\end_layout
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\begin_layout Standard
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Pour pouvoir utiliser les diagrammes de
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\noun on
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Feynman
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\noun default
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, le paquetage
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feyn
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\series default
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doit être installé.
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La création d'un diagramme de
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\noun on
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Feynman
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\noun default
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se fait en insérant la commande
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\backslash
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Diagram
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\series default
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dans une formule.
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Ensuite on peut ajouter de nouvelles lignes et colonnes comme dans une
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matrice habituelle.
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\end_layout
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\begin_layout Standard
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Les éléments matriciels sont créés par des commandes agissant comme des
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particules
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ou des
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\end_inset
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propagateurs
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\end_inset
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, par exemple:
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\end_layout
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\begin_layout Standard
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\align center
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<lyxtabular version="3" rows="7" columns="4">
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Commandes
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Description
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Exemple
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Résultat
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f,g,h
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\noindent
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\align left
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fermion, photon ou propagateur fantôme
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\end_layout
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<lyxtabular version="3" rows="1" columns="3">
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<features tabularvalignment="middle">
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\begin_inset Text
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f
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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g
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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h
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\end_layout
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\end_inset
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</cell>
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</cell>
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Formula $\Diagram{f & g & h}
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$
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<row>
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\begin_inset Text
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\begin_layout Plain Layout
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fu,fd,fv (gu,gd,gv)
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\end_layout
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\end_inset
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\noindent
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\align left
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fermion/photon, directions haut/bas/vertical
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\end_layout
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\end_inset
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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="3">
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<row>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fd
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
gu
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fv
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Formula $\Diagram{fd & & gu\\
|
|
|
|
& fv
|
|
|
|
}
|
|
|
|
$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fA,fV
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\noindent
|
|
|
|
\align left
|
2011-02-06 17:55:24 +00:00
|
|
|
A et V sont les modificateurs produisant les flèches gauche/haut ou droite/bas
|
2010-11-09 02:15:20 +00:00
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Tabular
|
|
|
|
<lyxtabular version="3" rows="2" columns="3">
|
2016-01-13 02:06:03 +00:00
|
|
|
<features tabularvalignment="middle">
|
2014-03-23 16:31:51 +00:00
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="middle">
|
2010-11-09 02:15:20 +00:00
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fdA
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fuV
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
gvV
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Formula $\Diagram{fdA & & fuV\\
|
|
|
|
& gvV
|
|
|
|
}
|
|
|
|
$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
fl,glB,glS,fl1,gl2, etc.
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\noindent
|
|
|
|
\align left
|
2011-02-06 17:55:24 +00:00
|
|
|
boucle fermions/photons
|
2010-11-09 02:15:20 +00:00
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Tabular
|
|
|
|
<lyxtabular version="3" rows="2" columns="3">
|
2016-01-13 02:06:03 +00:00
|
|
|
<features tabularvalignment="middle">
|
2014-03-23 16:31:51 +00:00
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="middle">
|
2010-11-09 02:15:20 +00:00
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
f
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
gl
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
f
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
f
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Formula $\Diagram{f & gl\\
|
|
|
|
& f & f
|
|
|
|
}
|
|
|
|
$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
momentum{ch}{text}
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\noindent
|
|
|
|
\align left
|
|
|
|
spécification des moments particulaires
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2016-11-07 22:53:19 +00:00
|
|
|
\begin_inset Formula $\backslash\mathrm{momentum}\{fA\}\{\vec{p\}}$
|
2010-11-09 02:15:20 +00:00
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
|
|
|
|
$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
vertexlabel{p}{text}
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\noindent
|
|
|
|
\align left
|
|
|
|
Une étiquette de sommet
|
|
|
|
\emph on
|
|
|
|
p
|
|
|
|
\emph default
|
|
|
|
est ^ ou _ pour marquer au-dessus ou au-dessus du sommet
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Tabular
|
|
|
|
<lyxtabular version="3" rows="2" columns="1">
|
2016-01-13 02:06:03 +00:00
|
|
|
<features tabularvalignment="middle">
|
2014-03-23 16:31:51 +00:00
|
|
|
<column alignment="center" valignment="top">
|
2010-11-09 02:15:20 +00:00
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2016-11-07 22:53:19 +00:00
|
|
|
\begin_inset Formula $\backslash\mathrm{vertexlabel}^{e^{+}}fA$
|
2010-11-09 02:15:20 +00:00
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2016-11-07 22:53:19 +00:00
|
|
|
\begin_inset Formula $fglS\backslash\mathrm{vertexlabel}_{\gamma}$
|
2010-11-09 02:15:20 +00:00
|
|
|
\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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2016-11-07 22:53:19 +00:00
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\begin_inset Formula $\Diagram{\vertexlabel^{\mathrm{e^{+}}}fA\\
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2010-11-09 02:15:20 +00:00
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fglS\vertexlabel_{\gamma}
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}
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$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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Ce ne sont que quelques options du paquetage
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\series bold
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feyn
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\series default
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, voir le manuel d'utilisation
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\begin_inset CommandInset citation
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LatexCommand cite
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key "Feyn"
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2017-04-24 04:03:19 +00:00
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literal "true"
|
2010-11-09 02:15:20 +00:00
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\end_inset
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.
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\end_layout
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2015-04-25 15:01:09 +00:00
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\begin_layout Standard
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\begin_inset Note Greyedout
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status open
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\begin_layout Plain Layout
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\series bold
|
2017-08-12 07:04:23 +00:00
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Nota:
|
2015-04-25 15:01:09 +00:00
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\series default
|
2017-08-12 07:04:23 +00:00
|
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|
si vous avez un index dans votre document et si vous utiliser un des modules
|
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|
pour les théorèmes AMS, il vous faut ajouter l'option
|
2015-04-25 15:01:09 +00:00
|
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|
\series bold
|
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|
noglobalbang
|
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\series default
|
2017-08-12 07:04:23 +00:00
|
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|
dans le champ des options de classe des paramètres du document.
|
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Ceci autorise l'usage du caractère
|
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\begin_inset Quotes cld
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\end_inset
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!
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\begin_inset Quotes crd
|
2015-04-25 15:01:09 +00:00
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\end_inset
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|
2017-08-12 07:04:23 +00:00
|
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|
dans les entrées d'index (nécessaire pour saisir des sous-entrées) mais
|
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|
peut créer des problèmes de conflit dans les environnements
|
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|
\family sans
|
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|
align
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|
\family default
|
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|
(décrits à la section
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\begin_inset Quotes cld
|
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\end_inset
|
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Les environnements align
|
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\begin_inset Quotes crd
|
2015-04-25 15:01:09 +00:00
|
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|
\end_inset
|
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|
2017-08-12 07:04:23 +00:00
|
|
|
du manuel Math de \SpecialChar LyX
|
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|
's).
|
2015-04-25 15:01:09 +00:00
|
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\end_layout
|
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\end_inset
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\end_layout
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|
2010-11-09 02:15:20 +00:00
|
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|
\begin_layout Bibliography
|
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|
\begin_inset CommandInset bibitem
|
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|
LatexCommand bibitem
|
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|
|
key "Feyn"
|
2017-04-24 04:03:19 +00:00
|
|
|
literal "true"
|
2010-11-09 02:15:20 +00:00
|
|
|
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|
|
\end_inset
|
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|
\begin_inset CommandInset href
|
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|
LatexCommand href
|
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|
|
name "Documentation"
|
|
|
|
target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
|
2017-04-24 04:03:19 +00:00
|
|
|
literal "false"
|
2010-11-09 02:15:20 +00:00
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
2016-01-13 02:06:03 +00:00
|
|
|
du paquetage \SpecialChar LaTeX
|
2015-11-13 18:14:45 +00:00
|
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|
2010-11-09 02:15:20 +00:00
|
|
|
\series bold
|
|
|
|
feyn
|
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|
|
\end_layout
|
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|
\end_body
|
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|
\end_document
|