Article (Published Version) http://sro.sussex.ac.uk Eberlein, Claudia and Zietal, Robert (2012) Exact dispersion-force potentials: interaction of an atom with a conductor-patched dielectric surface. Physical Review A, 86 (5). 052522-1. ISSN 1050052522-1. ISSN -2947 This version is available from Sussex Research Online: http://sro.sussex.ac.uk/44321/ This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version.
Copyright and reuse:Sussex Research Online is a digital repository of the research output of the University.Copyright and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable, the material made available in SRO has been checked for eligibility before being made available.Copies of full text items generally can be reproduced, displayed or performed and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. We study the interaction between a neutral atom or molecule and a conductor-patched dielectric surface. We model this system by a perfectly reflecting disk lying atop a nondispersive dielectric half-space, both interacting with the neutral atom or molecule. We assume the interaction to be nonretarded and at zero temperature. We find an exact solution to this problem. In addition, we generate a number of other useful results. For the case of no substrate, we obtain the exact formula for the van der Waals interaction energy of an atom near a perfectly conducting disk. We show that the force acting on an atom that is polarized in the direction normal to the surface of the disk displays intricate behavior. This part of our results is directly relevant to recent matter-wave experiments in which cold molecules are scattered by a radially symmetric object in order to study interference patterns and the so-called Poisson spot. Furthermore, we give an exact expression for the nonretarded limit of the dispersion force potential between an atom and a perfectly conducting bowl.