Solution
= Solution
For each canonical coordinate and <momentum>, <Hamilton's equations> are
$$
\boxed{\dot q_i=\frac{\partial H}{\partial p_i},\qquad
\dot p_i=-\frac{\partial H}{\partial q_i}.}
$$
They use canonical rather than arbitrary mechanical momenta, a distinction important in a <magnetic field>. The bracket convention printed in the source is consistent with $\dot F=[F,H]$ for a function with no explicit <time> dependence.