A Modern Approach to Quantum Mechanics · Problem 6.11

The One-Dimensional Harmonic Oscillator — John S. Townsend

Physics — Quantum Mechanics · energy-measurement-probabilities

Problem

Show in Example 6.6 that the probability that the particle is found in the second excited state if a measurement of the energy is carried out is given by ∣⟨E3width 2a∣E1width a⟩∣2=6425π2=0.26|\langle E_3^{\text{width }2a}|E_1^{\text{width }a}\rangle|^2 = \frac{64}{25\pi^2} = 0.26

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