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Consider a particle of mass m confined in a one-dimensional infinite square well of width a. The
particle is initially in the ground state. At time t = 7, a perturbing potential V₁ (t) = Vod(t − T)
is turned on in the region 0 ≤ x ≤ b with b < a. Find the probability for the particle to make a
transition to the 1st excited state.

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