English

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

Quantum Physics 2013-05-30 v1 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.1302.2936,
  title  = {Scattering of quantum wave packets by shallow potential islands: A quantum lens},
  author = {Arseni Goussev and Klaus Richter},
  journal= {arXiv preprint arXiv:1302.2936},
  year   = {2013}
}