On supersymmetric Dirac delta interactions

  title={On supersymmetric Dirac delta interactions},
  author={J. M. Mateos Guilarte and J. M. Mu{\~n}oz Casta{\~n}eda and A. Moreno Mosquera},
  journal={arXiv: Mathematical Physics},
In this paper we construct $\mathcal{N}=2$ supersymmetric (SUSY) quantum mechanics over several configurations of Dirac-$\delta$ potentials from one single delta to a Dirac " comb \rq\rq. We show in detail how the building of supersymmetry on potentials with delta interactions placed in two or more points on the real line requires the inclusion of quasi-square wells. Therefore, the basic ingredient of a supersymmetric Hamiltonian containing two or more Dirac-$\delta$s is the singular potential… 

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