 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-4/33b/a/solution

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

c_{1} (t) = - \frac{i}{ℏ} \int_{0}^{t} e^{i (ω_{1} - ω_{0}) t'} ⟨ 1∣ V (t') ∣0 ⟩ d t'.

The lowest nontrivial transition probability is

∣ c_{1} (t) ∣^{2}

, with errors of higher order in

V

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