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864 lines
16 KiB
Plaintext
864 lines
16 KiB
Plaintext
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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\begin_document
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\begin_header
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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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\pdf_title "Feynman Diagrams"
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\pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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Feynman
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-Diagramme
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status open
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Autoren: Uwe Stöhr und Ronen Abravanel
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Um
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Feynman
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-Diagramme erstellen zu können, muss das LaTeX-Paket
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feyn
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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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-Diagramm wird erzeugt, indem der Befehl
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\backslash
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Diagram
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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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Partikel
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oder
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Propagatoren
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fungieren zum Beispiel:
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Beispiel
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f,g,h
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f
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g
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h
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$
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fu,fd,fv (gu,gd,gv)
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Fermion/Photon, nach oben/unten/vertikal
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fd
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\begin_layout Plain Layout
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gu
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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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& fv
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}
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$
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fA,fV
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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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fdA
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fuV
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||
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<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
|
||
|
Fermion/Photon-Schleife
|
||
|
\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">
|
||
|
<features rotate="0" tabularvalignment="middle">
|
||
|
<column alignment="center" valignment="top">
|
||
|
<column alignment="center" valignment="top">
|
||
|
<column alignment="center" valignment="middle">
|
||
|
<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
|
||
|
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 rotate="0" 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 LyXs 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 LaTeX-Pakets
|
||
|
\series bold
|
||
|
feyn
|
||
|
\end_layout
|
||
|
|
||
|
\end_body
|
||
|
\end_document
|