 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-1/14d/c/solution

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

[x, p] ψ = - i ℏ x ψ^{'} + i ℏ (x ψ)^{'} = i ℏ ψ .

Thus

[x, p] = i ℏ I

. Substitution into part (a) yields

Δ_{ψ} x Δ_{ψ} p \geq \frac{ℏ}{2} .

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