A Modern Approach to Quantum Mechanics · Problem 1.13

Rotation of Basis States and Matrix Mechanics — John S. Townsend

Physics — Quantum Mechanics · overall-phase-invariance

Problem

Show that neither the probability of obtaining the result aia_i nor the expectation value ⟨A⟩\langle A\rangle is affected by ∣ψ⟩→eiδ∣ψ⟩|\psi\rangle \to e^{i\delta}|\psi\rangle, that is, by an overall phase change for the state ∣ψ⟩|\psi\rangle.

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