Quantum mechanical spectral engineering by scaling intertwining

Details Quantum mechanical spectral engineering by scaling intertwining Quantum mechanical spectral engineering by scaling intertwining

1999-11-01

arxiv.org/abs/quant-ph/9910125v2

Physica Scripta 64 (2001) 177-183

Physics

Quantum Physics

8 twocolumn pages, 5 figures

Scientific paper

10.1238/Physica.Regular.064a0017

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

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