Superposition Exercise #6

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 is Psi and the results of the integrals that give <p> and <p2> (in units of hbar and hbar2.

Vary n1 and n2 keeping n1<n2 to avoid double counting and also avoid n1=n2.  Vary the quantum numbers from 1 to 10. 

Questions

  1. What do you notice about <p> and <p2>? Do your results differ from the states that were not a superposition of states?
  2. For n1 = 1 n2 = 2, what is Dp?

Credits

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