 Solution

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

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

{f, g} = \sum_{i} (f_{q_{i}} g_{p_{i}} - f_{p_{i}} g_{q_{i}})

. Canonical variables satisfy

{Q_{i}, Q_{j}} = {P_{i}, P_{j}} = 0

and

{Q_{i}, P_{j}} = δ_{ij}

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