Background: This problem refers back to Problem 4 of the previous problem set. It helps to complete your physical picture of the ``flow'' of probability.
Use the probability current to compute as a function of time t the rate at which probability flows across the point from the left half to the right half of the square well in Problem 4 of Problem Set 5. Integrate your result from t=0 to and compare with your answer for 4.3 of Problem Set 5.