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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
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+\documentclass[parskip=half, pagesize=auto, version=last]{scrartcl}
+
+\usepackage{fixltx2e}
+\usepackage{lmodern}
+\usepackage[T1]{fontenc}
+\usepackage{textcomp}
+\usepackage{array}
+\usepackage{braket}
+\usepackage{microtype}
+
+\addtokomafont{title}{\rmfamily}
+
+\title{The \textsf{braket} package}
+\subtitle{Macros for Dirac bra--ket $\langle\mid\rangle$ notation and sets $\lbrace\mid\rbrace$}
+\author{Donald Arseneau\\\texttt{asnd@triumf.ca}}
+\date{12--Sept--2006}
+
+
+\begin{document}
+
+\maketitle
+
+Commands defined are:
+
+\begin{tabular}{@{}*{4}{>{\ttfamily\textbackslash}c<{\{~\}}}>{(}l<{~versions)}@{}}
+ bra & ket & braket & set & small \\
+ Bra & Ket & Braket & Set & expanding
+\end{tabular}
+
+The ``small versions'' use fixed-size brackets independent of their
+contents, whereas the ``expanding versions'' make the brackets and
+vertical lines expand to envelop their contents (internally using
+the \verb+\left+ and \verb+\right+ commands). You should use the vertical bar
+character ``\verb+|+'' to input any extra vertical lines. In \verb+\Braket+ these
+vertical lines will expand to match the arguments, and in \verb+\Set+ the
+first vertical will expand. E.\,g.,
+
+\begingroup
+\renewcommand*{\arraystretch}{1.7}
+\setlength{\tabcolsep}{10pt}
+\begin{tabular}{@{}>{\footnotesize}r>{$\displaystyle}l<{$}@{}}
+ \verb+\Braket{ \phi | \frac{\partial^2}{\partial t^2} | \psi }+ & \Braket{ \phi | \frac{\partial^2}{\partial t^2} | \psi } \\
+ \verb+\Set{ x\in\mathbf{R}^2 | 0<{|x|}<5 }+ & \Set{ x\in\mathbf{R}^2 | 0<{|x|}<5 } \\
+\end{tabular}
+\endgroup
+
+Likewise, you may make an expandable double-bar using either
+the ``\verb+\|+'' command or its local alias ``\verb+||+''.
+
+NOT defined is ``\verb+\ketbra+'' (for projection operators) because I prefer
+\verb+\ket{ } \bra{ }+.
+
+Because each definition is so small, it makes no sense to have a
+complicated generic version for many bracket styles. Instead,
+you can just copy the definitions and change \verb+\langle+ or \verb+\rangle+,
+to what you like.
+
+\end{document}