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arXiv 0909.3797math-phmath.MP
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Localised eigenfunctions in Seba billiards

J. P. Keating, J. Marklof, B. Winn

英文摘要:

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 Seba billiards that localise around a pair of unperturbed eigenfunctions.

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