Localised eigenfunctions in Seba billiards

Details Localised eigenfunctions in Seba billiards Localised eigenfunctions in Seba billiards

2009-09-21

arxiv.org/abs/0909.3797v2

Physics

Mathematical Physics

23 pages, 1 figure

Scientific paper

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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