POLAR OPTICAL OSCILLATIONS IN QUANTUM WIRES AND FREESTANDING WIRES - THE ELECTRON-PHONON INTERACTION HAMILTONIAN

By applying a phenomenological theory for long-wavelength polar optica l oscillations to mesoscopic layered semiconductor structures, we calc ulate the normal modes of a quantum wire and of a free-standing wire. the cylindrical geometry is adopted with circular cross-section of rad ius r(0). The displacement held u and the electric potential phi are c alculated for the different modes, as well as the dispersion relation curves. The case of the GaAs/AlAs structure is analysed. We limit ours elves to the study of oscillations perpendicular to the wire axis. The electron-phonon interaction Hamiltonian is derived for the present pr oblem using the second-quantization formalism.