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

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.

preprint2013arXivOpen access
Arseni GoussevKlaus Richter
nlin.CDquant-ph
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Arseni GoussevKlaus Richter

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