A particle of mass m is initially in the ground state of the (one-dimensional) infinite square well. At time t = 0 a “brick” is dropped into the well, so that the potential becomes

where V₀ << E₁. After a time T, the brick is removed, and the energy of the particle is measured. Find the probability (in first-order perturbation theory) that the result is now E₂.

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Vo, 0≤x≤a/2, V(x) = 0, a/2 < x≤ a, otherwise,