Stretching potential engineering
Quantum Physics
2019-11-26 v2 Mesoscale and Nanoscale Physics
Abstract
As the possibility to decouple temporal and spatial variations of the electromagnetic field, leading to a wavelength stretching, has been recognized to be of paramount importance for practical applications, we generalize the idea of stretchability from the framework of electromagnetic waves to massive particles. A necessary and sufficient condition which allows one to identify energetically stable configuration of a 1D quantum particle characterized by arbitrary large spatial regions where the associated wave-function exhibit a flat, non-zero profile is presented, together with examples on well-known and widely used potential profiles and an application to 2D models.
Cite
@article{arxiv.1907.05179,
title = {Stretching potential engineering},
author = {Stefano Cusumano and Antonella De Pasquale and Giuseppe Carlo La Rocca and Vittorio Giovannetti},
journal= {arXiv preprint arXiv:1907.05179},
year = {2019}
}
Comments
11 pages, 7 figures