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873 lines
16 KiB
Plaintext
873 lines
16 KiB
Plaintext
#LyX 2.2 created this file. For more info see http://www.lyx.org/
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\lyxformat 508
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin /systemlyxdir/examples/de/
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\textclass scrartcl
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% DO NOT ALTER THIS PREAMBLE!!!
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%
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% This preamble is designed to ensure that the file prints
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% out as advertised. If you mess with this preamble,
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% parts of this document may not print out as expected. If you
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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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% if pdflatex is used
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% used to have extra space in table cells
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{\usepackage{array}}{}
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\paperfontsize 12
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\spacing single
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\use_hyperref true
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\pdf_title "Feynman Diagrams"
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\pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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\index Index
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\shortcut idx
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\begin_layout Title
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\noun on
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Feynman
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\noun default
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-Diagramme
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\begin_layout Standard
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\begin_inset Note Note
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status open
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\begin_layout Plain Layout
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Autoren: Uwe Stöhr und Ronen Abravanel
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\end_inset
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\end_layout
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\begin_layout Standard
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Um
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\noun on
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Feynman
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\noun default
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-Diagramme erstellen zu können, muss das \SpecialChar LaTeX
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-Paket
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\series bold
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feyn
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\series default
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installiert sein.
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Ein
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\noun on
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Feynman
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\noun default
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-Diagramm wird erzeugt, indem der Befehl
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\series bold
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\backslash
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Diagram
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\series default
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in eine Formel eingegeben wird.
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Man kann anschließend neue Matrix-Spalten und Zeilen wie bei normalen Matrizen
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einfügen.
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\end_layout
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\begin_layout Standard
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Als Matrix-Eintrag kann man Befehle eingeben, die als
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\end_inset
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Partikel
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\begin_inset Quotes grd
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oder
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\begin_inset Quotes gld
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\end_inset
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Propagatoren
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\begin_inset Quotes grd
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\end_inset
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fungieren zum Beispiel:
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\begin_inset Separator latexpar
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\end_inset
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<column alignment="center" valignment="middle" width="20col%">
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<column alignment="center" valignment="middle" width="25col%">
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<column alignment="center" valignment="middle" width="20col%">
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\begin_inset Text
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Befehle
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Beschreibung
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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Beispiel
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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" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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Ergebnis
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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f,g,h
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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Fermion, Photon oder Ghost-Propagator
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="1" 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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<column alignment="center" valignment="top">
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<row>
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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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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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</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" 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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\begin_inset Formula $\Diagram{f & g & h}
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$
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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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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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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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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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Fermion/Photon, nach oben/unten/vertikal
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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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<column alignment="center" valignment="middle">
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<row>
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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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fd
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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gu
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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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<row>
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<cell alignment="center" valignment="top" topline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fv
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" 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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\begin_inset Formula $\Diagram{fd & & gu\\
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& fv
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}
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$
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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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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fA,fV
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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A und V sind Modifikatoren um einen Pfeil nach links/oben oder rechts/unten
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zu zeichnen
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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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<column alignment="center" valignment="middle">
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<row>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fdA
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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" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" bottomline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fuV
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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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<row>
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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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\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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gvV
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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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\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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\begin_inset Formula $\Diagram{fdA & & fuV\\
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& gvV
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}
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$
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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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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fl,glB,glS,fl1,gl2, etc.
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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Fermion/Photon-Schleife
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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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<column alignment="center" valignment="middle">
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<row>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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gl
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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" bottomline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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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<row>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
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\begin_inset Text
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|
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|
\begin_layout Plain Layout
|
|
|
|
\end_layout
|
|
|
|
\end_inset
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</cell>
|
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<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>
|
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</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
|
|
Teilchenimpuls-Angabe
|
|
\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 Formula $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$
|
|
\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
|
|
das Vertex-Label
|
|
\emph on
|
|
p
|
|
\emph default
|
|
ist entweder '^' oder '_' um über oder unter dem Vertex zu beschriften
|
|
\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">
|
|
<features tabularvalignment="middle">
|
|
<column alignment="center" valignment="top">
|
|
<row>
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\backslash{\rm vertexlabel}^{e^{+}}fA$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $fglS\backslash{\rm vertexlabel}_{\gamma}$
|
|
\end_inset
|
|
|
|
|
|
\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{\vertexlabel^{{\rm e^{+}}}fA\\
|
|
fglS\vertexlabel_{\gamma}
|
|
}
|
|
$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
</lyxtabular>
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
Dies sind nur einige der Features des Pakets
|
|
\series bold
|
|
feyn
|
|
\series default
|
|
, dessen Handbuch in
|
|
\begin_inset CommandInset citation
|
|
LatexCommand cite
|
|
key "Feyn"
|
|
|
|
\end_inset
|
|
|
|
zu finden ist.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset Note Greyedout
|
|
status open
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\series bold
|
|
Achtung:
|
|
\series default
|
|
Wenn Ihr Dokument ein Stichwortverzeichnis hat und eine der AMS Theorem-Module
|
|
verwendet wird, muss die Option
|
|
\series bold
|
|
noglobalbang
|
|
\series default
|
|
zu den Dokumentklassenoptionen in den Dokument-Einstellungen hinzugefügt
|
|
werden.
|
|
Dies ermöglicht die Verwendung des Zeichens '!' in Stichworten (wird für
|
|
Untereinträge benötigt), kann aber zu Problemen mit den Align-Umgebungen
|
|
führen (die im Abschnitt
|
|
\begin_inset Quotes gld
|
|
\end_inset
|
|
|
|
Align-Umgebungen
|
|
\begin_inset Quotes grd
|
|
\end_inset
|
|
|
|
in \SpecialChar LyX
|
|
s Mathe-Handbuch beschrieben sind).
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Bibliography
|
|
\begin_inset CommandInset bibitem
|
|
LatexCommand bibitem
|
|
key "Feyn"
|
|
|
|
\end_inset
|
|
|
|
|
|
\begin_inset CommandInset href
|
|
LatexCommand href
|
|
name "Dokumentation"
|
|
target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
|
|
|
|
\end_inset
|
|
|
|
des \SpecialChar LaTeX
|
|
-Pakets
|
|
\series bold
|
|
feyn
|
|
\end_layout
|
|
|
|
\end_body
|
|
\end_document
|