1. The problem statement, all variables and given/known data Consider a particle of mass m in the ground state of a potential well of width 2 a and depth. the particle was in the ground state of the potential well with V0 < Vcritical, which means the well is a narrow one. At t = 0 the bottom of the potential well is shifted down to Vo' from Vo. The resulting well is deep enough to support two bound states with energies -e0 and -e1 > -e0. What is the probability that the particle will get ionized – that is, it will leave the potential well by occupying levels with positive energy? 2. Relevant equations 3. The attempt at a solution I've found the wave function for e0 and the 2nd wave function for e1 Now I have to integrate them (-a to a) But this is getting outta control. Is there a trick? or I am doing something wrong because there is no way to integrate so many terms. Screw mathematica btw. I need to learn the trick. Thanks!