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浅势垒岛对量子波包的散射：一种量子透镜。

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

作者信息

Goussev Arseni, Richter Klaus

机构信息

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

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052918. doi: 10.1103/PhysRevE.87.052918. Epub 2013 May 28.

DOI:10.1103/PhysRevE.87.052918
PMID:23767609
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.

摘要

我们考虑二维空间中局域化波包在弱高斯势作用下的量子散射问题。我们表明，在某些条件下，该问题与薄光学透镜对光线的聚焦（或散焦）问题有密切的相似性：直线路径之间的量子干涉产生了与经典光学中折射光线相同的透镜方程。

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