Two Interacting Wells - revised questions:

Please substitute these questions for the ones posted on the lab webpage in Section 2:

4. Which of the lowest two states has the least overall waviness?  Does it correspond to the state with the largest binding energy?  Note that the lowest energy state will have the largest binding energy (it is the most bound in the well).
5. Is the probability of finding the electron halfway between the two wells zero for either of the two lowest states?  In a 2 particle system like a Hydrogen molecule (not atom), wavefunctions that are nonzero between the wells are more tightly bound.  So which parity states would you expect to be more bound?  Is this consistent with your answer to #4 above?
6. How does the energy splitting between pairs change as the quantum number n increases?  Using this result and the behavior observed in Section 1, can you identify the wavefunction property that produces the energy splitting?