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.
Categories: hep-th