Localised eigenfunctions in Seba billiards
Mathematical Physics
2015-05-14 v2 math.MP
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 Seba billiards that localise around a pair of unperturbed eigenfunctions.
Cite
@article{arxiv.0909.3797,
title = {Localised eigenfunctions in Seba billiards},
author = {J. P. Keating and J. Marklof and B. Winn},
journal= {arXiv preprint arXiv:0909.3797},
year = {2015}
}
Comments
23 pages, 1 figure