1. At t = 0, the quantum particle is describe by the localized wave packet 0 i x| > a, (a) (2 pts) Find the expression for A such that (z,0) is normalized. (b) (2 pts) What is the probability of finding the particle within the interval |z| ' (1) m de? or (a) (6 pts) Prove equation (1). Suppose that the particle is subject to the potential V(x) = Eliaa::', where a is a positive constant. The classical equation of motion for this particle is mi + ax? = (. (b) (3 pts) Using equation (1) derive the equation of motion for (z) for this particle. Express the equation in terms of m, a, and the variance (Az)? in position. () (1 pt) Compare the equation of motion for (z) obtained in item 1b to the classical equation of motion. How do they differ