As discussed in lecture, our basic strategy to find the energies of
the atom is to set
and
at one end of our solution
(
or
), define a function
as the value
of
at the other end, and then seek the roots of
.
As discussed in class, there are a variety of methods for root
finding, solving one equation in one unknown of the form
.
Computationally, these methods depend upon calling a function
subroutine which returns the value of the function
for any
input value
. In this problem, we will implement versions of two
of the Numerical Recipes subroutines for doing this, rtbisp480()
and zriddrp480(). As with rk4p480(), we will also have to write a
helper routine, which in this case we call func_Schrodinger().