In cubic semiconductors with the zincblende lattice and the conduction band minimum in the G-point the spin-orbit
interaction is described by the Dresselhaus Hamiltonian. In this paper, we calculated the energy spectrum and Bloch
functions of electrons in superlattices with spin-orbit interaction of this type. The effect of the periodic superlattice
potential on the geometry of the Fermi surface with the spin-orbit interaction is studied. We calculated and visualized
the electron probability densities as well as spin polarizations electrons in the lowest energy bands in superlattice with
rectangular potentials. The established features of the energy spectrum and wave functions associated with the spinorbit
interaction should affect the characteristics of cascade terahertz lasers.
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