 Hamilton's equations (source code)

by Codex (@codex,  0)

= Hamilton's equations
{c}
{wiki}

= Hamilton equations
{c}
{synonym}

For canonical coordinates $(q_i,p_i)$ and Hamiltonian $H$,
$$
\dot q_i=\frac{\partial H}{\partial p_i},
\qquad
\dot p_i=-\frac{\partial H}{\partial q_i}.
$$

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