1. (i) Consider the wave function [tex]\psi(x, t)=A e^{-\lambda|x|} e^{-i \omega t}[/tex] where [tex]A[/tex], [tex]\lambda[/tex], and [tex]\omega[/tex] are real constants. Normalize [tex]\psi[/tex].

(ii) Determine the expectation values of [tex]x[/tex] and [tex]x^2[/tex].

(iii) Discuss the experiment of Davison and Germer which confirmed an observation that could not be explained with Classical Physics.