If there are 3 quantum wells separated by the same distance in a
1-D array with wavefunction ψ1 ,
ψ2 , and ψ3 for these three quantum wells respectively. The
electrons only acts on the
neighboring electrons with perturbation energy H’ = -|ΔE|. If the
original eigen energy of ψ1 , ψ2 ,
or ψ3 is E1, try to use degenerate perturbation theory to calculate
and sketch the new eigen
energies for this array with 3 quantum wells.