quantal_output_equations.tex

\documentclass{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\newcommand{\ui}{i}          %% default math "i"
\begin{document}
\section{Equations of Motion generated from quantAl}

\begin{equation}
\begin{split}
\frac{\mathrm{d}(pp)}{\mathrm{d}t} = & -8 \gamma \hbar p_{0}q_{0}q_{0}q_{0}-4 \hbar \beta p_{0}q_{0} \\
\frac{\mathrm{d}(pq)}{\mathrm{d}t} = & -4 \gamma \hbar q_{0}q_{0}q_{0}q_{0}-2 \hbar \beta q_{0}q_{0}+2 \hbar \alpha p_{0}p_{0} \\
\frac{\mathrm{d}(qq)}{\mathrm{d}t} = & +4 \hbar \alpha p_{0}q_{0} \\
\frac{\mathrm{d}(ppp)}{\mathrm{d}t} = & +18 \gamma \hbar \hbar \hbar \ui \ui q_{0}-12 \gamma \hbar p_{0}p_{0}q_{0}q_{0}q_{0}+24 \gamma \hbar \hbar \hbar q_{0}-6 \hbar \beta p_{0}p_{0}q_{0} \\
\frac{\mathrm{d}(ppq)}{\mathrm{d}t} = & -8 \gamma \hbar p_{0}q_{0}q_{0}q_{0}q_{0}-4 \hbar \beta p_{0}q_{0}q_{0}+2 \hbar \alpha p_{0}p_{0}p_{0} \\
\frac{\mathrm{d}(pqq)}{\mathrm{d}t} = & -4 \gamma \hbar q_{0}q_{0}q_{0}q_{0}q_{0}-2 \hbar \beta q_{0}q_{0}q_{0}+4 \hbar \alpha p_{0}p_{0}q_{0} \\
\frac{\mathrm{d}(qqq)}{\mathrm{d}t} = & +6 \hbar \alpha p_{0}q_{0}q_{0}
\end{split}
\end{equation}
\end{document}