Investigate the one-dimensional wave packet
φ(p)=AΘ[(ℏ/d)−∣p−p0∣].
(a) Determine the constant of normalization and ψ(x).
(b) Determine in coordinate space the wave function ψ(x,t) in the limit ℏ/dp0≪1.
(c) Compute in this limit ⟨p⟩, ⟨x⟩, Δp, and Δx.