  We present a model for electron-ion transport in Warm Dense Matter that
incorporates Coulomb coupling effects into the quantum Boltzmann equation of
Uehling and Uhlenbeck through the use of a statistical potential of mean force.
Although this model has been derived rigorously in the classical limit [S.D.
Baalrud and J. Daligault, Physics of Plasmas 26, 8, 082106 (2019)], its quantum
generalization is complicated by the uncertainty principle. Here we apply an
existing model for the potential of mean force based on the quantum
Ornstein-Zernike equation coupled with an average-atom model [C. E. Starrett,
High Energy Density Phys. 25, 8 (2017)]. This potential contains correlations
due to both Coulomb coupling and exchange, and the collision kernel of the
kinetic theory enforces Pauli blocking while allowing for electron diffraction
and large-angle collisions. By solving the Uehling-Uhlenbeck equation for
electron-ion relaxation rates, we predict the momentum and temperature
relaxation time and electrical conductivity of solid density aluminum plasma
based on electron-ion collisions. We present results for density and
temperature conditions that span the transition from classical weakly-coupled
plasma to degenerate moderately-coupled plasma. Our findings agree well with
recent quantum molecular dynamics simulations.
