  Systems of identical particles possessing non-local interactions are capable
of exhibiting extra-classical properties beyond the characteristic quantum
length scales. This letter derives the dynamics of such systems in the
non-relativistic and degenerate limit, showing the effect of exchange symmetry
and correlations on structure both in and out of equilibrium. Such descriptions
may be crucial to understanding systems ranging from nuclei to dark matter.
Appropriate limits for restoring the mean-field description are also discussed.
