Quantum reflection and Liouville transformations from wells to walls
Quantum Physics
2015-05-27 v1
Abstract
Liouville transformations map in a rigorous manner one Schr\"odinger equation into another, with a changed scattering potential. They are used here to transform quantum reflection of an atom on an attractive well into reflection of the atom on a repulsive wall. While the scattering properties are preserved, the corresponding semiclassical descriptions are completely different. A quantitative evaluation of quantum reflection probabilities is deduced from this method.
Cite
@article{arxiv.1412.1734,
title = {Quantum reflection and Liouville transformations from wells to walls},
author = {Gabriel Dufour and Romain Guérout and Astrid Lambrecht and Serge Reynaud},
journal= {arXiv preprint arXiv:1412.1734},
year = {2015}
}