Localised eigenfunctions in Šeba billiards

نویسندگان

  • J. P. Keating
  • J. Marklof
  • B. Winn
چکیده

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 localise around a pair of unperturbed eigenfunctions.

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تاریخ انتشار 2009