1. A particle is represented at time t = 0 by the wave function Ala-x) where A and a are constants. Y(x, 0) = = (a) Normalize to find A in terms of a. 0 if a x a otherwise, (b) Find the expectation value of x, (x), at time t = 0. (c) Find the expectation value of p, (p), at time t = 0. (d) Find the expectation value of x, (x), at time t = 0. (e) Find the expectation value of p, (p), at time t = 0. (f) Find the uncertainty in the value of x, x, at time t = 0. (g) Find the uncertainty in the value of p, p, at time t (h) Verify that your results are consistent with the uncertainty principle. = 0.