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
Publié le : 2000-07-05
Classification:
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
@article{hal-00007562,
author = {Horv\'athy, P. A. and Macfarlane, A. J. and Van Holten, J. -W.},
title = {Monopole supersymmetries and the Biedenharn operator},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00007562}
}
Horváthy, P. A.; Macfarlane, A. J.; Van Holten, J. -W. Monopole supersymmetries and the Biedenharn operator. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007562/