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FERMION STATES ON THE SPHERE S<sup>2</sup>

FERMION STATES ON THE SPHERE S<sup>2</sup>

We solve for the spectrum and eigenfunctions of Dirac operator on the sphere. The igenvalues are nonzero whole numbers. The eigenfunctions are two-component spinors which may be classified by representations of the SU(2) group with half-integer angular momenta. They are special linear combinations of conventional spherical spinors.