  A recent description of an exact map for the equilibrium structure and
thermodynamics of a quantum system onto a corresponding classical system is
summarized. Approximate implementations are constructed by pinning exact limits
(ideal gas, weak coupling), and illustrated by calculation of pair correlations
for the uniform electron gas and shell structure for harmonically confined
charges. A wide range of temperatures and densities are addressed in each case.
For the electron gas, comparisons are made to recent path integral Monte Carlo
simulations (PIMC) showing good agreement. Finally, the relevance for orbital
free density functional theory for conditions of warm, dense matter is
discussed briefly.

Statistical Mechanics;Chemical Physics