Wave-vector dependence of spin and density multipole excitations in quantum dots

We have employed time-dependent local-spin density-functional theory to ana lyze the multipole spin and charge density excitations in GaAs-AlxGa1-xAs q uantum dots. The on-plane transferred momentum degree of freedom has been t aken into account, and the wave-vector dependence of the excitations is dis cussed. In agreement with previous experiments, we have found that the ener gies of these modes do not depend on the transferred wave vector, although their intensities do. Comparison with a recent resonant Raman scattering ex periment [C. Schuller et at, Phys. Rev. Lett. 80, 2673 (1998)] is made. Thi s allows us to identify the angular momentum of several of the observed mod es as well as to reproduce their energies.