4 research outputs found
Localised eigenfunctions in Seba billiards
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.Comment: 23 pages, 1 figur