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An approach to analyzing the spinor wave functions that appear in theelectronic structure calculations when taking the spin-orbit interaction intoaccount is developed. It is based on the projection analysis of angular partsof wave functions onto irreducible representations of the point group andanalysis of the evolution of the energy levels upon the adiabatic turning onthe spin-orbit interaction. The technique is illustrated by an example of thechanges in the valence band structure in strained bulk CdSe with zinc-blendestructure. An analysis of the character of mixing of various branches of thevalence band supports the Luttinger-Kohn model of the valence band. It is shownthat the above calculations complemented by the Zeeman splitting in a magneticfield make it possible to unambiguously determine the polarization of alloptical transitions. Using the spinor wave functions, matrix elements ofoptical transitions between the valence subbands and the conduction band arecalculated.

A new approach to analyzing the spinor wave functions: Effect of strain on the electronic structure and optical transitions in bulk CdSe