1. The problem statement, all variables and given/known data At time t < 0 there is an infinite potential for x<0 and for x>0 the potential is 1/2m*w^2*x^2 (harmonic oscillator potential. Then at time t = 0 the potential is 1/2*m*w^2*x^2 for all x. The particle is in the ground state. Assume t = 0+ = 0- a) what is the probability that a measurement will give the value hbar*w/2? b) what is the probability that a measurement will give the value 3*hbar*w/2? 2. Relevant equations This seems more conceptual than anything. The eigenenergies for the harmonic oscillator might help \hbar*ω(n+1/2) 3. The attempt at a solution I know that at t <0 the half harmonic oscillator only allows the odd eigenfunctions to survive and then when the infinite potential is removed and a full harmonic oscillator exists for t>0 all of the eigenfunctions can exist but I don't know how to get probability from this knowledge. I apologize for my lack of latex. I couldn't find an hbar in the latex reference and didn't know how to do it on my own.