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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
<title></title>
<style type="text/css">code{white-space: pre;}</style>
<script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"></script>
</head>
<body>
<p><span class="math display">\[\begin{split}
\frac{\mathrm{d}(pp)}{\mathrm{d}t} = & -8 \gamma \hbar p_{0}q_{0}q_{0}q_{0}-4 \hbar \beta p_{0}q_{0} \\
\frac{\mathrm{d}(pq)}{\mathrm{d}t} = & -4 \gamma \hbar q_{0}q_{0}q_{0}q_{0}-2 \hbar \beta q_{0}q_{0}+2 \hbar \alpha p_{0}p_{0} \\
\frac{\mathrm{d}(qq)}{\mathrm{d}t} = & +4 \hbar \alpha p_{0}q_{0} \\
\frac{\mathrm{d}(ppp)}{\mathrm{d}t} = & +18 \gamma \hbar \hbar \hbar {i}{i}q_{0}-12 \gamma \hbar p_{0}p_{0}q_{0}q_{0}q_{0}+24 \gamma \hbar \hbar \hbar q_{0}-6 \hbar \beta p_{0}p_{0}q_{0} \\
\frac{\mathrm{d}(ppq)}{\mathrm{d}t} = & -8 \gamma \hbar p_{0}q_{0}q_{0}q_{0}q_{0}-4 \hbar \beta p_{0}q_{0}q_{0}+2 \hbar \alpha p_{0}p_{0}p_{0} \\
\frac{\mathrm{d}(pqq)}{\mathrm{d}t} = & -4 \gamma \hbar q_{0}q_{0}q_{0}q_{0}q_{0}-2 \hbar \beta q_{0}q_{0}q_{0}+4 \hbar \alpha p_{0}p_{0}q_{0} \\
\frac{\mathrm{d}(qqq)}{\mathrm{d}t} = & +6 \hbar \alpha p_{0}q_{0}q_{0}
\end{split}\]</span></p>
</body>
</html>