title: Scattering of quantum wave packets by shallow potential islands: a quantum lens.
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.
authors.affiliation: Department of Mathematics and Information Sciences, Northumbria University, Newcastle Upon Tyne NE1 8ST, United Kingdom.
authors.forename: Arseni
authors.initials: A
authors.lastname: Goussev
authors.forename: Klaus
authors.initials: K
authors.lastname: Richter
mesh_terms: D003198:Computer Simulation; D007909:Lenses; D008027:Light; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011789:Quantum Theory; D012542:Scattering, Radiation