Sn. Klimin et al., POLARONIC HAMILTONIAN AND POLAR OPTICAL VIBRATIONS IN MULTILAYER STRUCTURES, Physica status solidi. b, Basic research, 190(2), 1995, pp. 441-453
A theory of polar optical vibrations in multilayer semiconductor struc
tures is developed taking into account phonon dispersion. A method of
diagonalization of the equations of motion for inertial polarization v
ectors in the finite basis is used, that is founded on a finite number
of degrees of freedom of the system. The Hamiltonian of the electron-
phonon interaction is deduced. The dispersion law and the spatial depe
ndence of the obtained eigenmodes are in good agreement with experimen
tal data and microscopic models. It is shown that the electron scatter
ing rate in a magnetic field depends on the chosen model of polar opti
cal vibrations.