Background: The purpose of this problem is to practice the techniques developed in lecture, but on a slightly different problem. On Problem Set 6, you employed separation of variables to derive the following equation for the radial dependence of the Time Independent Schrödinger Equation (TISE) for the Hydrogen atom:
Note: I have combined the 
from the notation on PS6 into
a new function called 
. For this problem you may begin with
Eq. (1) and not consider 
from PS6. The only
effect of this redefinition is the new boundary condition that
.
