Scattering of quantum wave packets by shallow potential islands: a quantum lens

Goussev, Arseni and Richter, Klaus (2013) Scattering of quantum wave packets by shallow potential islands: a quantum lens. Physical Review E (PRE), 87 (5). 052918-052924. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.87.052918

Abstract

We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing) of light rays by a thin optical lens: Quantum interference between straight paths yields the same lens equation as for refracted rays in classical optics.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Arseni Goussev
Date Deposited: 29 May 2013 08:22
Last Modified: 17 May 2017 05:39
URI: http://nrl.northumbria.ac.uk/id/eprint/12704

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