Supersymmetric quantum mechanical generalized MIC-Kepler system

Details Supersymmetric quantum mechanical generalized MIC-Kepler system Supersymmetric quantum mechanical generalized MIC-Kepler system

2006-07-10

arxiv.org/abs/hep-th/0607059v3

Mod.Phys.Lett.A23:895-904,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, No figure

Scientific paper

10.1142/S0217732308025462

We construct supersymmetric (SUSY) generalized MIC-Kepler system and show that the systems with half integral Dirac quantization condition \mu= \pm{1/2}, \pm{3/2}, \pm{5/2},..... belong to a SUSY family (hierarchy of Hamiltonian) with same spectrum between the respective partner Hamiltonians except for the ground state. Similarly, the systems with integral Dirac quantization condition \mu =\pm 1,\pm 2, \pm 3,...... belong to another family. We show that, it is necessary to introduce additional potential to MIC-Kepler system in order to unify the two families into one. We also reproduce the results of the (super-symmetric) Hydrogenic problem in our study.

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