Monopole supersymmetries and the Biedenharn operator
P. A. Horváthy, A. J. Macfarlane, J. -W. van Holten
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 λ2/r2 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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