For a general, one-dimensional wave packet
ψ(x,t)=∫2πℏdpg(p)exp{i[px−E(p)t+ℏα(p)]/ℏ},
whose real weighting function g(p) is symmetric about its maximum at p0 and which differs substantially from zero only in a region ∣p−p0∣≤Δp, calculate the expectation values ⟨p⟩, ⟨p2⟩, ⟨x⟩, and ⟨x2⟩. It is advisable to carry out the computation of the positional uncertainty in the momentum representation.