LINEAR ALTERNATIVE TO THE BOLTZMANN-EQUATION WITHOUT LINEARIZATION .3. IMPURITY SCATTERING AND ELECTRIC-FIELD

Our previously reported projection formalism leading to a linear alter native to the Boltzmann (-Uehling-Uhlenbeck) kinetic equation is here applied to standard elastic scattering on impurities in solids and ext ernal electric field. In the former case in which the Boltzmann equati on is linear, we prove that our formalism reproduces this equation. In the dc as well as ac electric field and for any scattering mechanism, it is verified that inclusion of the field reduces (upon neglecting o f the field dependence of scattering processes) in the lowest order to inclusion of just the standard field driving term.