Superposition Exercise #3

Please answer the  following 2 questions regarding the Physlet:

n1 =   n2 =  

Description

A particle is in a one-dimensional box of length a=1.  It is in a normalized superposition of two states.  There is an equal amount of each state.  Shown are Psi and the results of the integrals that give <x> and <x2>.  

Vary n1 and n2, keeping n1<n2 to avoid duplicating states and also avoiding n1=n2.  Vary the quantum numbers from 1 to 10. 

Questions

a. What do you notice about <x> and <x2>?  How do your results differ from states that were not superpositions?

b.  For n1 = 1, n2 = 2, what is Dx? 

Credits

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