Suppose the perturbation takes the form of a delta function (in time):assume that Uaa = Ub...

Suppose the perturbation takes the form of a delta function (in time):

assume that Uaa = Ubb = 0, and let Uab = U*ba = α. If ca(–∞) = iandcb(–∞) = 0, find ca(t) and cb(t), and check that |ca(t)|2 + |cb(t)|2 = 1. What is the net probability (Pa→b for t→∞) that a transition occurs? Hint: You might want to treat the delta function as the limit of a sequence of rectangles.Answer-Pa→b = sin2(|α|/h).