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

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Mathematics and Information Sciences, Northumbria University, Newcastle Upon Tyne NE1 8ST, United Kingdom.

Published: May 2013

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.

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http://dx.doi.org/10.1103/PhysRevE.87.052918DOI Listing

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