Conditional-probability density functional theory (CP-DFT) is a formally
exact method for finding correlation energies from Kohn-Sham DFT without
evaluating an explicit energy functional. We present details on how to generate
accurate exchange-correlation energies for the ground-state uniform gas. We
also use the exchange hole in a CP antiparallel spin calculation to extract the
high-density limit. We give a highly accurate analytic solution to the
Thomas-Fermi model for this problem, showing its performance relative to
Kohn-Sham and may be useful at high temperatures. We explore several
approximations to the CP potential. Results are compared to accurate
parameterizations for both exchange-correlation energies and holes.Comment: Corrected typos, minor changes in text and notation for clarity and
continuity with other work, results unchange