Supersymmetric one-parameter strict isospectrality for the attractive delta potentials
Quantum Physics
2009-10-30 v4 Condensed Matter
Mathematical Physics
math.MP
Abstract
The Schr\"odinger equation with attractive delta potential has been previously studied in the supersymmetric quantum mechanical approach by a number of authors, but they all used only the particular superpotential solution. Here, we introduce a one-parameter family of strictly isospectral attractive delta function potentials, which is based on the general superpotential (general Riccati) solution, we study the problem in some detail and suggest possible applications
Cite
@article{arxiv.quant-ph/9709019,
title = {Supersymmetric one-parameter strict isospectrality for the attractive delta potentials},
author = {L. J. Boya and H. C. Rosu and A. J. Segui-Santonja and J. Socorro and F. J. Vila},
journal= {arXiv preprint arXiv:quant-ph/9709019},
year = {2009}
}
Comments
7 pages in LaTex, 4 eps figures, published version v4