 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-4/15d/c/solution

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

δH = H_{q} \cdot δ q + H_{p} \cdot δ p = - ε {F, H}

. Hamilton's equation gives

\dot{F} = {F, H}

, so

F

is conserved exactly when the generated infinitesimal canonical transformation leaves

H

invariant.

 New to topics? Read the docs here!