Awave packet is given by ψ(x) a expl-ax2 + ikr]. (a) calculate the momentum wave function φ(p). (b) calculate(? ) from ψ(z); and () from φ(p). note: it is not necessary to evaluate a, but in that case we must use the generalized expectation value formula.(q) = 《ψ1qv)/(ψ|v). discuss the meaning of the constants a, k. (c) check that δχδp satisfy the minimum uncertainty principle. (d) [optional] with the proper operator representations, evaluate (2) from φ(p) and (p) from n(x), and show that the results are the same.