Fixed-energy inverse scattering theory has been used to define central and
spin-orbit Schrodinger potentials for the scattering of 5-eV polarized elec
trons from Xe atoms. The results an typical for a range of such data; inclu
ding energies above threshold when the potentials become complex. The phase
shifts obtained from an analysis of the measured differential cross sectio
n and analyzing power were used as input data. Both semiclassical (WKB) and
fully quantal inversion methods were used to extract central and spin-orbi
t interactions. The analysis shows that information additional to the set o
f input phase shifts extracted from these (and similar) data may be needed
to ascertain physical potentials.