 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-4/8e/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

{f, g} = \sum_{i} (\frac{\partial f}{\partial q _{i}} \frac{\partial g}{\partial p _{i}} - \frac{\partial f}{\partial p _{i}} \frac{\partial g}{\partial q _{i}}),

\overset{q}{˙}_{i} = {q_{i}, H} = \frac{\partial H}{\partial p _{i}}, \overset{p}{˙}_{i} = {p_{i}, H} = - \frac{\partial H}{\partial q _{i}} .

More generally

\dot{f} = {f, H} + \partial f / \partial t

 New to topics? Read the docs here!