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For a particle that exists in a state described by the wavefunction Ψ(t, x), imagine you are calculating the expectation value of position-squared, ⟨ x²⟩ , for a particle trapped in a finite square well centred about the origin, with edges at x = −L/2 and x = +L/2. What is the interpretation of the expectation value ⟨ x²⟩ ?

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