Find the integral.

Expectation Value Exercise #3

Please answer the  following 3 questions regarding the Physlet:

n =  

Description

A particle is in a one-dimensional box of length a=1.  The states shown are normalized.  Shown are Psi and the results of the integrals that give <x> and <x2>.  Vary n from 1 to 10. 

Questions

a. What do you notice about the values of <x> and <x2> as you vary n? 

b.  For n = 1, what is Dx?

c.  What  do you think <x> and <x2> should become in the classical limit?   Why?

Credits

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