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arXiv · 1407.7077

Localization of low-energy eigenfunctions in Seba billiards

Minjae Lee
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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.

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Minjae Lee. 2015-01-18. Localization of low-energy eigenfunctions in Seba billiards. https://doi.org/10.1103/physreve.90.062904

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