Two coherent states of the same oscillator mode correspond to the phase-space points…
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Quantum dynamics and its formulations · Quantum dynamics and its formulations
The Structure of Quantum Mechanics, Ch Coherent states, Ehrenfest's theorem and the classical limit
Problem
Two coherent states of the same oscillator mode correspond to the phase-space points α and β with ∣α−β∣=2.5.
((a)) Compute the overlap probability ∣⟨β∣α⟩∣2.
((b)) State whether ∣α⟩ and ∣β⟩ are exactly orthogonal, and whether coherent states can still provide a resolution of the identity despite this.