Please answer the following 3 questions
regarding the Physlet:

Description

A particle is in a one-dimensional box of length a=1. The
states shown are normalized. Shown are Psi^{*} x Psi ^{ }and
Psi^{*} x^{2} Psi and the results of the integrals that give <x>
and <x^{2}>. Vary n from 1 to 10.

Questions

a. What do you notice about the values of <x> and <x^{2}> as you vary
n?

b. For n = 1, what is Dx?

c. What do you think <x> and <x^{2}> should become in the classical
limit? Why?

Credits

Script by Mario Belloni and Wolfgang Christian.
Questions by Mario Belloni.
Java applets by Wolfgang Christian.