% miko:type: complete
% miko:title: Complete Quantum Mechanics
% miko:summary: A structured path through states, operators, evolution, and measurement.
% miko:tags: quantum
% miko:difficulty: undergrad
% miko:related: schrodinger-equation, wavefunction-normalization, commutator, time-evolution-operator
% miko:keywords: Hilbert space, Schrödinger equation, operator

\documentclass{article}
\usepackage{amsmath}
\title{Complete Quantum Mechanics}
\begin{document}
\maketitle

\section{States}

A quantum state is represented by a vector $|\psi\rangle$ or wavefunction
$\psi(x)$.

\section{Dynamics}

Time evolution is governed by

$$
i\hbar\frac{\partial}{\partial t}|\psi\rangle = H|\psi\rangle.
$$

\section{Operators}

Observables are operators. Noncommutativity is encoded in commutators such as
$[\hat x,\hat p]=i\hbar$.

\end{document}
