THERE IS ONLY 1 QUESTION RELATED TO QUANTUM PHYSICS: PHY256: IF YOU CAN ONLY HELP WITH A HANDWRITING AND NOT TYPED, I WOULD REALLY APPRICIATE IT. THANK YOU VERY MUCH IN ADVANCE:

A 1D quantum harmonic oscillator of mass m and spring constant k is initially (t=to) 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 k is restored. At a time to > t, 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: Vo(x) = 1-1/4bl/2e-b-x/2 and w. (x) = 21/2 7-1/4b3/2xe-b -box'/2, where b = (mk / h2 )1/4