Посилання: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.
Підтримка:This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html.
Partial financial support is acknowledged to the Spanish Junta de Castilla y Le´on (Project
GR224) and the Ministry of Science and Innovation (Projects MTM2009-10751 and FPA2008-04772-E). DJFC acknowledges the support of Conacyt.
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.