On the Theory of the Electron–Phonon Scattering Rate Including the Intra‐Collisional Field Effect

A transport equation for ballistic charge carriers which contains the influence of strong and spatially inhomogeneous electric fields in the collision integral is derived by use of Airy functions. A simple analytical expression for the scattering rate due to electron–phonon interaction is obtained including the intra‐collisional field effect. Near the threshold energies for several electron–phonon interaction mechanisms strong modifications of the corresponding scattering rates are calculated whereas the field‐induced change of the scattering rate is negligible for high‐energetic carriers.