Solutions to the
radial equation
in a constant potential are important since they are the solutions for large
in potentials of limitted range.
They are therefore used in scattering problems as the incoming and outgoing states.
The solutions are the
spherical Bessel and spherical Neumann functions.

where . The linear combination of these which falls off properly at large is called the

We use these solutions to
do a **partial wave analysis of scattering**,
solve for **bound states of a spherical potential** well,
solve for bound states of an **infinite spherical well** (a spherical ``box''),
and
solve for scattering from a spherical potential well.

Jim Branson 2013-04-22