Pa. Markowich et C. Schmeiser, THE DRIFT-DIFFUSION LIMIT FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS, Mathematical models and methods in applied sciences, 7(5), 1997, pp. 707-729
A scattering operator modeling the interaction of electrons with phono
ns of given constant energy in semiconductors is analyzed by means of
an expansion in terms of spherical harmonics. An application is the de
rivation of the drift-diffusion limit of the corresponding Boltzmann e
quation for the transport of electrons in a semiconductor crystal.