- 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.

- 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.