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

Arseni Goussev and Klaus Richter
Phys. Rev. E 87, 052918 – Published 28 May 2013
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  • INTRODUCTION
  • THEORY
  • NUMERICAL CONFIRMATION
  • CONCLUSION
  • ACKNOWLEDGEMENTS
  • APPENDICES
    • References

    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.

    • Received 21 March 2013

    DOI:https://doi.org/10.1103/PhysRevE.87.052918

    ©2013 American Physical Society

    Authors & Affiliations

    Arseni Goussev1,2 and Klaus Richter3

    • 1Department of Mathematics and Information Sciences, Northumbria University, Newcastle Upon Tyne NE1 8ST, United Kingdom
    • 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, D-01187 Dresden, Germany
    • 3Institute for Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany

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    Issue

    Vol. 87, Iss. 5 — May 2013

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