Quantum reflection and Liouville transformations from wells to walls

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 prop...

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Bibliographic Details
Published inEurophysics letters Vol. 110; no. 3; pp. 30007 - p1-30007-p5
Main Authors Dufour, G., Guérout, R., Lambrecht, A., Reynaud, S.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.05.2015
IOP Publishing
Subjects
02.30.Hq
03.65.-w
34.35.+a
Descriptions
Quantitative evaluation
Reflection
Scattering
Schrodinger equation
Schroedinger equation
Transformations
Transformations (mathematics)
Transforms
Walls
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Summary: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.
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ark:/67375/80W-1HFTS9CS-H
publisher-ID:epl17092
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/110/30007