Monopole supersymmetries and the Biedenharn operator

P. A. Horváthy; A. J. Macfarlane; J. -W. van Holten

doi:10.1016/S0370-2693(00)00777-2

paper

Monopole supersymmetries and the Biedenharn operator

arXiv:hep-th/0006118 · doi:10.1016/S0370-2693(00)00777-2

Abstract

The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin $\2$ particle in the combined field of a Dirac monopole plus a $λ^{2} / r^{2}$ potential [considered before by D'Hoker and Vinet], and related to the operator introduced by Biedenharn a long time ago in solving the Dirac-Coulomb problem. Explicit solutions are obtained by diagonalizing the Biedenharn operator

10 pages. Plain TeX, no figures. Submitted to the Phys. Lett. B