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Symmetry of superconducting pairing in non-pseudospin electron bands

The symmetry-based phenomenological theory of Cooper pairing is a powerful tool in the studies of unconventional superconductors. At the heart of this theory is the assumption that the electron Bloch states transform under crystal symmetry operations in the same way as the pure spin-\textonehalf{} states, even in the presence of spin-orbit coupling. Here, the author shows that this assumption is not always true and develops a modified classification of superconducting states in centrosymmetric crystals.