Electron Raman scattering in a spherical quantum dot

The differential-cross-section (DCS) for an electron Raman scattering (ERS) process in semiconductors quantum-dots (QD) of spherical shape is calculated for T = 0 K and neglecting phonon assisted transitions. Electron states are considered assuming complete confinement within the QD. We also assume a single parabolic conduction and valence bands. Two kinds of spectra 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 analyze DCS for different scattering configurations. We study selection rules for the processes. Singularities in the spectra are found and interpreted. The ERS here studied can be used to provide direct information about the electron band structure of the system.