Monopole supersymmetries and the Biedenharn operator

The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin 1 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...

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Bibliographic Details
Published in:Physics letters. B 2000-08, Vol.486 (3), p.346-352
Main Authors: Horváthy, P.A., Macfarlane, A.J., van Holten, J.W.
Format: Article
Language:English
Subjects:
High Energy Physics - Theory
Mathematical Physics
Mathematics
Physics
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Summary:The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin 1 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.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(00)00777-2