  Polar-optical phonon interactions with carriers in semiconductors are long
range interactions due to their Coulombic nature. Generally, if one wants to
treat these with non-equilibrium Green's functions, this long-range interaction
requires two- and three-particle Green's functions to be evaluated by e.g. the
Bethe-Salpeter equation. On the other hand, optical phonon scattering is
thought to be phase-breaking, which, if true, would eliminate this concern over
long-range interactions. In seeking to determine just to what extent phase
breaking is important, one could treat the polar modes as a real space
potential, as is done for impurities, and examine the occurrence of any such
correlations. This latter approach suffers from the condition that it is not
really known how to handle the polar modes in real space -- no one seems to
have done it. Here, such an approach is described as one possible method.
