Q#2: A 1D quantum harmonic oscillator of mass m and spring constant k is initially (t=t,) in the ground state. Suddenly the spring stiffens, such that k is quadrupled from its initial value. (a) At a later time /1 > to, what is the probability of finding the oscillator in the ground state? (b) After finding the oscillator in the ground state at 1, the spring suddenly softens such that the initial * is restored. At a time /2 > , what is the probability of finding the oscillator in the 1 st excited state? Note: for a 1D quantum oscillator, the ground-state and 1st excited-state wave functions are: Wo(x) = 1/4bl/ze-box/2 and w,(x) =21/27 1/4b3/2xe-box"/2, where b = (mx / h?)