Supersymmetric quantum mechanical generalized MIC-Kepler system
High Energy Physics - Theory
2008-11-26 v3
Abstract
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.
Cite
@article{arxiv.hep-th/0607059,
title = {Supersymmetric quantum mechanical generalized MIC-Kepler system},
author = {Pulak Ranjan Giri},
journal= {arXiv preprint arXiv:hep-th/0607059},
year = {2008}
}
Comments
8 pages, Latex, No figure