Using the concept of spectral engineering we explore the possibilities of building potentials with prescribed spectra offered by a modified intertwining technique involving operators which are the product of a standard first-order intertwiner and a unitary scaling. In the same context we study the iterations of such transformations finding that the scaling intertwining provides a different and richer mechanism in designing quantum spectra with respect to that given by the standard intertwining
@article{arxiv.quant-ph/9910125,
title = {Quantum mechanical spectral engineering by scaling intertwining},
author = {D. J. Fernandez C. and H. C. Rosu},
journal= {arXiv preprint arXiv:quant-ph/9910125},
year = {2009}
}