Superposition Exercise #4

Please answer the  following 2 questions regarding the Physlet:

Description

The above wave function, Psi in the upper right-hand graph,  is for a particle in an infinite square well of length a=2.  You may import a function, f(x) and check the overlap integral with the wave function.  

Questions

1. The state is normalized. Report the wave function.
2. How much of the total wave function is in each individual state?  Report as a fraction.

Credits

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