5. Consider a harmonic oscillator with Hamiltonian ! = The system sinitially in its ground state, A dee-dependent perturbation is applied, XY -max' where f(t) vanishes for t 2 6 ard increases monotonically from ? _ ( to a final value f fort > T. (ai Suppose the wine ? over which the perturball on charges in three is "long." What will be the wave function describing the system at { =1? How long does long have to be for your meant to be a good approximation? cont'd