Supersymmetry Transformations for Delta Potentials

Abstract

We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics.

Keywords

• first and second-order SUSY
• singular potentials