ABSTRACT
When an electron is confined in a structure of restricted dimensionality (such as a quantum well or a quantum wire) and is subjected to a magnetic field, the electron experiences both electrostatic confinement due to structure and magnetostatic confinement due to the magnetic field. As a result, the allowed electronic states are hybrid magneto-electric states which form magneto-electric subbands. In this chapter, we will derive the dispersion relations (energy versus wavevector) of electrons in magneto-electric subbands in the presence of spin-orbit interaction. The two types of spin-orbit interactions that we will consider are the common ones in a solid, the Rashba and the Dresselhaus interactions.
