Fermion States on the Sphere $S^2$

Abstract

We solve for the spectrum and eigenfunctions of Dirac operator on the sphere. The eigenvalues 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 not the conventional spherical spinors but special linear combinations of those.

Talk given at the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions. 4pp

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