Supersymmetric quantum mechanical generalized MIC-Kepler system

Abstract

We construct supersymmetric (SUSY) generalized MIC-Kepler system and show that the systems with half integral Dirac quantization condition μ= \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 μ=\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.

8 pages, Latex, No figure

References in corpus (5)

• Supersymmetry and Quantum Mechanics
• The generalized MIC-Kepler system
• Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
• Exact supersymmetry in the relativistic hydrogen atom in general dimensions -- supercharge and the generalized Johnson-Lippmann operator
• Self-Adjointness of Generalized MIC-Kepler System

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