It is sometimes useful to use
to solve a radial equation problem.
We can rewrite the equation for
This now looks just like the one dimensional equation except the pseudo potential due to angular
momentum has been added.
We do get the additional condition that
For the case of a constant potential
, we define
and the radial equation becomes.
, its easy to see that
, we see that these are
The solutions can be checked for other
, with some work.