% miko:type: atomic
% miko:title: Commutator
% miko:summary: The noncommutativity measure that organizes quantum observables.
% miko:tags: quantum
% miko:difficulty: undergrad
% miko:related: schrodinger-equation, poisson-bracket, time-evolution-operator
% miko:keywords: operator, uncertainty, quantum algebra

\documentclass{article}
\usepackage{amsmath}
\title{Commutator}
\begin{document}
\maketitle

\section{Definition}

For operators $A$ and $B$,

$$
[A,B]=AB-BA.
$$

\section{Canonical Relation}

Position and momentum satisfy

$$
[\hat x,\hat p]=i\hbar.
$$

This algebraic fact is the root of the uncertainty principle.

\end{document}
