Analyze the Gaussian wave packet carefully and show that Δk Δx = 1/2. You must justify t...

Analyze the Gaussian wave packet carefully and show that Δk Δx = 1/2. You must justify the assumptions you make concerning uncertainties in k and x. Take the Gaussian form given in Equation (5.26). (Hint: the linear “spread” of the wave packet Δx is given by one standard deviation, at which point the probability amplitude (|ψ|²) has fallen to one half its peak value.)