Solution
= Solution
For smooth functions $f,g$ on the six-dimensional phase space with canonical coordinates $(q_i,p_i)$, the <Poisson bracket> is
$$
\boxed{
\{f,g\}=\sum_{i=1}^3
\left(
\frac{\partial f}{\partial q_i}
\frac{\partial g}{\partial p_i}
-\frac{\partial f}{\partial p_i}
\frac{\partial g}{\partial q_i}
\right).}
$$