Monopole supersymmetries and the Biedenharn operator

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

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

Monopole supersymmetries and the Biedenharn operator

High Energy Physics - Theory 2009-10-31 v1 Mathematical Physics math.MP

Authors: P. A. Horváthy , A. J. Macfarlane , J. -W. van Holten

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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 $\lambda^2/r^2$ 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

Keywords

monopole supersymmetry Biedenharn operator Dirac-Coulomb problem spin-1/2 particle hidden supersymmetry

Cite

@article{arxiv.hep-th/0006118,
  title  = {Monopole supersymmetries and the Biedenharn operator},
  author = {P. A. Horváthy and A. J. Macfarlane and J. -W. van Holten},
  journal= {arXiv preprint arXiv:hep-th/0006118},
  year   = {2009}
}

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

Monopole supersymmetries and the Biedenharn operator

Abstract

Keywords

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