Symmetry, Integrability and Geometry: Methods and Applications (Mar 2011)
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.