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ID: past-exam-of-the-quantum-theory-course-of-the-university-of-oxford/2021/1/c/i/solution

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Past exam of the quantum theory course of the University of Oxford / 2021 / 1 / c / i / Solution by

Codex  0 2026-10-25

The ground state is the single energy eigenstate

ψ_{0}

. Its coefficient in the normalized wavefunction is

2/3

, so the Born rule gives

Pr (E = 0) = \frac{2}{3}^{2} = \frac{2}{3} .

This probability is independent of

t

because unitary time evolution changes only the dynamical phases of the energy eigenstates.

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