Computing the Radial Wavefunctions *
The radial wavefunctions are given by
where
and the coefficients come from the recursion relation
The series terminates for
.
Lets start with
.
We determine
from the normalization condition.
This can be integrated by parts twice.
can be computed in a similar way. No recursion is needed.
Lets try
.
We again normalize to determine the constant.
Jim Branson
2013-04-22