Supersymmetry Transformations for Delta Potentials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: David J. Fernández C., Gadella, M., Nieto, L.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146801
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Supersymmetry Transformations for Delta Potentials / David J. Fernández C., M. Gadella, L.M. Nieto // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ.

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 f...