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We study the transformation properties of the electron states in crystalswith spin-orbit coupling, focusing primarily on the limitations of thefrequently used pseudospin-1/2 description of twofold degenerate Bloch bands.Using the language of corepresentations of magnetic point groups, we constructthe Bloch bases across the Brillouin zone in a way which is consistent with allsymmetry requirements. This construction is applied to derive the effectivespin-orbit Hamiltonians in noncentrosymmetric crystals, known as thegeneralized Rashba models, in both single-band and multiband cases.

On the pseudospin description of the electron Bloch bands