A Modern Approach to Quantum Mechanics · Problem 7.23

Path Integrals — John S. Townsend

Physics — Quantum Mechanics · coherent-states-orthogonality

Problem

Evaluate ∣⟨β∣α⟩∣2|\langle\beta|\alpha\rangle|^2 for coherent states ∣α⟩|\alpha\rangle and ∣β⟩|\beta\rangle. Show that the states ∣α⟩|\alpha\rangle and ∣β⟩|\beta\rangle become approximately orthogonal in the limit ∣α−β∣≫1|\alpha-\beta|\gg 1.

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