Supersymmetry Transformations for Delta Potentials (1012.0808v3)

Published 3 Dec 2010 in hep-th, math-ph, math.MP, and quant-ph

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.

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