Consider a one-dimensional wave packet at the instant t = 0, whose amplitude function A(k) is given by

Show that

Make a plot of both A(k) and ψ(x, 0) and verify that the uncertainties in x and k satisfy the following uncertainty relation:

Transcribed Image Text:

A(k) = 1 A(K) = 0 for - a ≤k ≤a otherwise