Spin-orbit interaction in the quantum dot

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit interaction is shown to introduce new features to the far infra-red absorption spectrum, where it leads to the splitting of the two principal modes. The results are compared with the charging experiments by Ashoori et al. and the far infra-red absorption measurements by Demel et al.