Fermion States on the Sphere $S^2$
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0111084,
title = {Fermion States on the Sphere $S^2$},
author = {Alexei A. Abrikosov},
journal= {arXiv preprint arXiv:hep-th/0111084},
year = {2009}
}
Comments
Talk given at the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions. 4pp