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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