Student Friendly Introduction to QFT · Problem 7.10

QED: Quantum Field Interaction Theory Applied to Electromagnetism

Physics — QFT · interaction-picture-expectation-value-equivalence

Problem

From the S.P. expectation value of an operator, show that it equals the I.P. expectation value, i.e. show (using (7-24) as a guide) that Oˉ=S⟨Ψ∣OS∣Ψ⟩S=I⟨Ψ∣OI∣Ψ⟩I.\bar{\mathcal{O}} = {}_{S}\langle \Psi | \mathcal{O}^S | \Psi \rangle_S = {}_{I}\langle \Psi | \mathcal{O}^I | \Psi \rangle_I.

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