\(\newcommand{\pt}{\partial_t}\)With MathJax, you can use \newcommand in enclosed $...$ characters to define a macro in any given page (e.g., \newcommand{\pt}{\partial_t} turns $\pt$ into $\pt$). If you want a popular macro to be defined once and for all, without having to include the definition each time, you have to declare it in a javascript file, e.g., Config.js.
In the standard mediawiki extension version, the file is:
There's already a list of definitions. The syntax is not the most obvious as it needs to translates $\mathrm{\TeX}$ syntax into javascript. Macros I use all the times are:
\newcommand{\ud}[1]{{#1^{\dagger}}}
\newcommand{\bra}[1]{\left\langle #1\right|}
\newcommand{\ket}[1]{\left| #1\right\rangle}
\newcommand\Tr{\mathrm{Tr}}
And this needs be written:
bra: ['{\\left\\langle #1\\right|}',1],
ket: ['{\\left| #1\\right\\rangle}',1],
ud: ['{#1^{\\dagger}}',1],
Tr: '\\mathrm{Tr}'
This turns, e.g., $$\ud{a}\ket{n}=\sqrt{n+1}\ket{n+1}$$ into:
For some reasons (mainly that I want to use $$ instead of <math>), I also use the SimpleMathJax extension. In this case, look for:
laussywiki/extensions/SimpleMathJax/resources/ext.SimpleMathJax.js
and add:
Z: "{\\mathbb{Z}}",
Zeta: "{\\mathrm{Z}}",
// Custom macros
ud: ['{#1^{\\dagger}}', 1],
la: '{\\circlearrowleft}',
ra: '{\\circlearrowright}',
(it so happens that ket, bra, etc., are already defined in this case).
There are good discussions on google groups: