David J. Fernández C., Manuel Gadella, Luis Miguel Nieto, “Supersymmetry Transformations for Delta Potentials”, SIGMA, 2011, Volume 7,029, 14 pp.

This article is cited in 8 papers

Supersymmetry Transformations for Delta Potentials

David J. Fernández C.^a, Manuel Gadella^b, Luis Miguel Nieto^b

^a Departamento de Física, Cinvestav, AP 14-740, 07000 México DF, Mexico
^b Departamento de Física Teórica, Atómica y Optica, Facultad de Ciencias, 47041 Valladolid, Spain

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.

Keywords: first and second-order SUSY; singular potentials.

MSC: 81Q60

Received: November 30, 2010; in final form March 19, 2011; Published online March 22, 2011

Language: English

DOI: 10.3842/SIGMA.2011.029