Abstract
The Fröhlich Hamiltonian describing the interaction of longitudinal-optical (LO) phonons and charge carriers in a three-dimensional polar semiconductor is generalized to the case where phonon modes are confined in two of the three spatial dimensions. The generalized Fröhlich Hamiltonian is used to calculate the total scattering rate for electronLO-phonon scattering of electrons traversing a one-dimensional quantum wire with a rectangular cross section.