Principles of Quantum Mechanics · Problem 4.2.3

Simple Problems in One Dimension — R. Shankar

Physics — Quantum Mechanics · mean-momentum-shift

Problem

Show that if ψ(x)\psi(x) has mean momentum ⟨P⟩\langle P \rangle, eip0x/ℏψ(x)e^{ip_0 x/\hbar}\psi(x) has mean momentum ⟨P⟩+p0\langle P \rangle + p_0.

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