Supersymmetry Transformations for Delta Potentials

Details Supersymmetry Transformations for Delta Potentials Supersymmetry Transformations for Delta Potentials

2010-12-03

arxiv.org/abs/1012.0808v3

SIGMA 7:029,2011

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.3842/SIGMA.2011.029

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.

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