Monopole supersymmetries and the Biedenharn operator

Details Monopole supersymmetries and the Biedenharn operator Monopole supersymmetries and the Biedenharn operator

2000-06-16

arxiv.org/abs/hep-th/0006118v1

Phys.Lett. B486 (2000) 346-352

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(00)00777-2

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 $\lambda^2/r^2$ 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

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