Fermion States on the Sphere $S^2$

Details Fermion States on the Sphere $S^2$ Fermion States on the Sphere $S^2$

2001-11-09

arxiv.org/abs/hep-th/0111084v1

Int.J.Mod.Phys. A17 (2002) 885-889

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X02010261

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.

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