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We predict inelastic light scattering spectra from electron collective excitations in a coaxial quantum wellembedded in a core-multishell GaAs/AlGaAs nanowire. The complex composition, the hexagonal cross section,and the remote doping of typical samples are explicitly included, and the free electron gas is obtained bya density functional theory (DFT) approach. Inelastic light scattering cross sections due to charge and spincollective excitations belonging to quasi-one-dimensional (1D) and quasi-2D states, which coexist in such radialheterostructures, are predicted in the nonresonant approximation from a fully three-dimensional multisubbandtime-dependent DFT (TDDFT) formalism. We show that collective excitations can be classified in azimuthal,radial, and longitudinal excitations, according to the associated density fluctuations, and we suggest that theircharacter can be exposed by specific spectral dispersion of inelastic light scattering along different planes of theheterostructure.Universitat Jaume I 	P1.1B2014-24 Generalitat Valenciana Vali+d 	APOSTD/2013/052 European Union's 7th framework programme 	 Marie Curie ITN INDEX 	289968 University of Modena and Reggio emili

Prediction of inelastic light scattering spectra from electronic collective excitations in GaAs/AlGaAs core-multishell nanowires