Really sorry for this simple question, but I think it will be useful/interesting in general.
Consider a quantum simple harmonic oscillator. Add a perturbation HI=−λˆx
Calculate ⟨ψ|ˆx|ψ⟩ in the new ground state, to first order in perturbation theory in λ, and relate it to ⟨0|x2|0⟩ where |0⟩ is the unperturbed ground state.
Can someone help me on this
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