| Issue |
EPL
Volume 110, Number 3, May 2015
|
|
|---|---|---|
| Article Number | 30007 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/110/30007 | |
| Published online | 27 May 2015 | |
Quantum reflection and Liouville transformations from wells to walls
Laboratoire Kastler Brossel, UPMC-Sorbonne Universités, CNRS, ENS-PSL Research University, Collège de France, Campus Jussieu - F-75252 Paris, France
Received: 19 February 2015
Accepted: 6 May 2015
Liouville transformations map in a rigorous manner one Schrödinger equation into another, with a changed scattering potential. They are used here to transform quantum reflection of an atom on an attractive Casimir-Polder 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.
PACS: 03.65.-w – Quantum mechanics / 34.35.+a – Interactions of atoms and molecules with surfaces / 02.30.Hq – Ordinary differential equations
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.