Dirac operator on the Riemann sphere
Abstract
We solve for spectrum, obtain explicitly and study group properties of eigenfunctions of Dirac operator on the Riemann sphere $S^2$. The eigenvalues $\lambda$ are nonzero integers. The eigenfunctions are twocomponent spinors that belong to representations of SU(2)group with halfinteger angular momenta $l = \lambda  \half$. They form on the sphere a complete orthonormal functional set alternative to conventional spherical spinors. The difference and relationship between the spherical spinors in question and the standard ones are explained.
 Publication:

arXiv eprints
 Pub Date:
 December 2002
 arXiv:
 arXiv:hepth/0212134
 Bibcode:
 2002hep.th...12134A
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 18 pages, no figures, plain LaTeX