 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-2/15b/b/i/solution

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

Expand the normalized initial wavefunction in the orthonormal energy basis:

c_{n} = \int_{0}^{a} χ_{n} (x)^{*} f (x), d x .

ψ (x, t) = n = 1 \sum \infty c_{n} χ_{n} (x) e^{- i E_{n} t /ℏ} .

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