2. Consider a particle in an innite square well. It is in the initial state Mar, 0) = A [$161+ $5200] where 515,; {x} is the energyr eigenfunctions for the innite square well. (a) Plot gf/(LO) and |gr(x,)|2. (b) Find the wave function Ix, t) at a later time t. (e) Calculate {x(t}). (d) Calculate {9(3)} and show that in this case 3(1) (P) m J: (This is true in general and is part of Ehrenfest's theorem}. (e) Suppose you measure the energy of the particle at time I. What are the possible results, and what are the probabilities of getting each result