A particle is in a one-dimensional box of length a=1. The states shown are normalized. Shown is Psi* x Psi and Psi* x2 Psi and the results of the integrals that give <x> and <x2>. Vary n from 1 to 10.
1. What do you notice about the values about <x> and <x2> as you vary n?
2. For n = 1, what is Dx?
3. What do you think <x> and <x2> should become in the classical limit? Why?