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arxiv: 1012.0808 · v3 · pith:HHEQPAWZnew · submitted 2010-12-03 · ✦ hep-th · math-ph· math.MP· quant-ph

Supersymmetry Transformations for Delta Potentials

classification ✦ hep-th math-phmath.MPquant-ph
keywords deltasecond-ordertransformationsdetaileddiracfirstfirst-orderfree
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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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