# Equal spacing in matrix

I'm trying to create a matrix that has equal spacing between each of the columns, but so far I have not been very succesful. The code I'm using right now is

\documentclass{article}

\usepackage{amsmath}

\begin{document}

\begin{align}
U &= \begin{pmatrix}
e^{\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & e^{\frac{i}{\hbar}|A|t}
\end{pmatrix}
\end{align}

\end{document}


This generates rather ugly output, with the columns containing the exponentials much wider than the others:

I suppose this is a very stupid and elementary question, but a quick search didn't get me anywhere sadly.

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With equal spacing, do you think the matrix will still fit within the bounds of \textwidth? You may consider defining a difference variable E (say) to shorten the column width... – Werner Feb 27 '14 at 23:41

Done as a TABstack. The package has a \fixTABwidth{T} option. I've also increased the vertical spacing between lines slightly, to give a more balanced look.

\documentclass{article}

\usepackage{tabstackengine}
\stackMath

\begin{document}

$$\setstackgap{L}{1.1\baselineskip} \fixTABwidth{T} U = \parenMatrixstack{ e^{\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & e^{\frac{i}{\hbar}|A|t} }$$

\end{document}


It is actually not a "very stupid and elementary question", as given by the many upvotes at this question: Writing a table with equally spaced columns, based on the widest column

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Use of array to define a newcolumntype C with settowidth command to determine the widest element in the math array. Same notion is applicable in pmatrix case. As a side note, the calc package provides \widthof{...} can be an alternative too.

Code

\documentclass{article}
\usepackage{amsmath,calc}
\usepackage{array}                                              % http://ctan.org/pkg/array

\newcolumntype{C}[1]{>{\centering\arraybackslash$}m{#1}<{$}}
\newlength{\mycolwd}                                         % array column width
\settowidth{\mycolwd}{$e^{-\frac{i}{\hbar}|A|t}$}% "width" of $e^{-\frac{i}{\hbar}|A|t$; largest element in array
\begin{document}
$$B=\left [ \begin{array}{*{9}{@{}C{\mycolwd}@{}}} e^{\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & e^{\frac{i}{\hbar}|A|t} \end{array} \right ]$$

\settowidth{\mycolwd}{$e^{-\frac{i}{\hbar}|A|t}$}
\newcommand\w[1]{\makebox[\mycolwd]{$#1$}}

\begin{align}
B &= \begin{pmatrix}
e^{\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & \w1 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 0  & 1 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & e^{\frac{i}{\hbar}|A|t}
\end{pmatrix}
\end{align}

\end{document}

-

You can pad the columns with something like this (but if you make it this wide, the equation number moves down a line)

\documentclass{article}

\usepackage{amsmath}

\newcommand\w[1]{\makebox[2.5em]{$#1$}}

\begin{document}

\begin{align}
U &= \begin{pmatrix}
e^{\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0 & 0 & 0 & 0 & 0\\
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\
\w0 & \w0 & \w0 & \w0 & \w1 & \w0 & \w0 & \w0 & \w0\\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & e^{-\frac{i}{\hbar}|A|t} & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & e^{\frac{i}{\hbar}|A|t}
\end{pmatrix}
\end{align}

\end{document}

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