Abstract
The single‐particle Hamiltonian of the electron–(long‐wave optical) phonon interaction is discussed for semiconductor superlattices. In detail the dispersion relations are analyzed of long‐wave optical phonons, i.e. of the interface‐like bulk phonons (IBP's) and of longitudinal optical (LO) phonons, of the polar semiconductor superlattice. The IBP's are composed from ordinary interface phonons on adjacent interfaces coupling through their macroscopic electric fields to form a collective excitation of the whole superlattice. The coupling function of the electron–phonon interaction is calculated using a continuum theory. The coupling functions describing the modified Fröhlich interaction of a single electron with the continuous field of polarization of the IBP's and LO phonons are discussed and presented in graphical form.