Localization of low-energy eigenfunctions in Seba billiards
Mathematical Physics
2015-01-20 v4 math.MP
Quantum Physics
Abstract
We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.
Cite
@article{arxiv.1407.7077,
title = {Localization of low-energy eigenfunctions in Seba billiards},
author = {Minjae Lee},
journal= {arXiv preprint arXiv:1407.7077},
year = {2015}
}
Comments
5 pages, 7 figures