Problem 11.1: Harmonic oscillator in transient electric field. (30 points) Consider a one-dimensional harmonic oscillator with frequency parameter wy. At time t = 0, the system is in the ground state. Then at time = (0, a constant electric field of magnitude Ey is turned on, and left on until it is turned off at time = T. The oscillator responds to the electric field because it has charge q: H(t) = gqEz, 0