Schrödinger Basis for Spinor Representations of the Three-Dimensional Rotation Group

Abstract

It is shown that the double‐valued spherical harmonics provide a basis for the irreducible spinor representations of the three‐dimensional rotation group. Pauli's assertion to the contrary is shown to be false. Both infinitesimal and finite rotations are discussed in some detail. It is also shown that there remains a twofold degeneracy in the spherical harmonic Y_im when j and m are specified.