Energy levels and eigenfunctions for two-dimensional electron systems with confining square well potentials and spin-orbit interactions in the presence of magnetic field

Solutions of the Schrodinger equation are obtained for electrons in two-dimensional circular semiconductor quantum dots and rings in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit interactions of equal strengths. Confinement is simulated by realistic square well potentials. The dependence of the energy levels on the magnetic field and the strength of spin-orbit interaction is presented in detail