This page is still largely in progress.
The most famous equation is $e^{i\pi}=-1$
which is the same as so let's put it displayed: $$e^{i\pi}=-1\,.$$
$\ud{a}\ket{n}=\sqrt{n+1}\ket{n+1}$ Failed to parse (unknown function "\ud"): {\displaystyle \ud{a}\ket{n}=\sqrt{n+1}\ket{n+1}}
Some areas of interest: