Electron Raman scattering in cylindrical quantum wires

The differential cross-section (DCS) for an electron Raman scattering (ERS) process in a semiconductor quantum wire (QW) of cylindrical geometry is calculated for T=0 K and neglecting phonon-assisted transitions. Electron states are considered assuming complete confinement within the QW. We also assume single parabolic conduction and valence bands. Two kinds of spectrum are discussed: emission spectra DCS as a function of emitted photon energy) and excitation spectra (DCS as a function of incident photon energy). In both cases we analyse the DCS for different scattering configurations. We study selection rules for the processes. Singularities in the spectra are found and interpreted. The ERS studied here can be used to provide direct information about the electron band structure of the system.