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Title: Localized eigenfunctions in Seba billiards
Authors: Keating, J.P.
Marklof, J.
Winn, Brian
Issue Date: 2010
Publisher: © American Institute of Physics
Citation: KEATING, J.P., MARKLOF, J. and WINN, B., 2010. Localized eigenfunctions in Seba billiards. Journal of Mathematical Physics, 51, 062101, 19pp.
Abstract: We describe some new families of quasimodes for the Laplacian perturbed by the addition of a potential formally described by a Dirac delta function. As an application, we find, under some additional hypotheses on the spectrum, subsequences of eigenfunctions of Šeba billiards that localize around a pair of unperturbed eigenfunctions.
Description: Copyright (2010) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Sponsor: This work has been supported by an EPSRC Senior Research Fellowship J.P.K., a Royal Society Wolfson Research Merit Award J.M., and the National Science Foundation under research Grant No. DMS-0604859 B.W.
Version: Published
DOI: 10.1063/1.3393884
URI: https://dspace.lboro.ac.uk/2134/15455
Publisher Link: http://dx.doi.org/10.1063/1.3393884
ISSN: 0022-2488
Appears in Collections:Published Articles (Maths)

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