It's “by design”. The definitions of `\bra`

and `\ket`

are

```
% braket.sty, line 31:
\def\bra#1{\mathinner{\langle{#1}|}}
% braket.sty, line 32:
\def\ket#1{\mathinner{|{#1}\rangle}}
```

and `\mathinner`

adds a thin space on either side of the construction.

If you want to remove those additional thin spaces (which is not a bad idea, by the way), you can redefine them like

```
\renewcommand\bra[1]{{\langle{#1}|}}
\renewcommand\ket[1]{{|{#1}\rangle}}
```

However, the sidebearings of `\langle`

and `\rangle`

will still leave a hole.

```
\documentclass[10pt,a4paper]{article}
\usepackage{braket}
\renewcommand\bra[1]{{\langle{#1}|}}
\renewcommand\ket[1]{{|{#1}\rangle}}
\begin{document}
\[
\ket{x}\bra{x}
\]
\[
\ket{x}\!\bra{x}
\]
\end{document}
```

You might check whether a `\bra`

immediately follows a `\ket`

:

```
\documentclass[10pt,a4paper]{article}
\usepackage{braket}
\renewcommand\bra[1]{{\langle{#1}|}}
\makeatletter
\renewcommand\ket[1]{%
\@ifnextchar\bra{\k@t{#1}\!}{\k@t{#1}}%
}
\newcommand\k@t[1]{{|{#1}\rangle}}
\makeatother
\begin{document}
\[
\ket{x}\bra{x}
\]
\end{document}
```

## Best Answer

this is not an answer, but a demonstration of possibilities.

the code shown in the question doesn't exhibit the described result, namely that the left angle bracket is larger than the right one.

edit:since the request was for asmallerset of brakets, i've added examples showing that the shapes used around theqare the smallestdefaultsize. to get smaller ones, one has to go to ridiculous lengths, explicitly specifying a different (and inappropriate) size.note that the coding here isn't good style -- never use multiple adjacent

`equation`

environments. and i've also taken liberties with spacing, since it's not really clear what is wanted.edit:it has come to my attention (by way of a comment on Increase in bracket sizes due to power symbol) that the

`physics`

package also supports the`\bra`

`\ket`

notation, and according to`texdoc physics`

you can apply a`*`

to suppress automatic sizing (see page 6).