The stopping power is considered for a dense fully ionized plasma in a
binary collision approximation including dynamical screening in the w
eak coupling term. The approach is based on an idea first given by Gou
ld and DeWitt starting from the Boltzmann and Lenard-Balescu equations
[Phys. Rev. 155 (1967) 68]. In this way, strong multiple scattering a
s well as collective effects are included in the theory. Explicit resu
lts are presented for the stopping power of an electron beam running i
nto a quantum electron gas, and a comparison is given of the approxima
tion schemes using the pure statically screened T-matrix, the dynamica
l RPA screening, and using the combined scheme proposed by Gould and D
eWitt.