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- W1494623705 abstract "We investigate the operator $-Delta -alpha delta (x-Gamma)$ in $L^2(mathbb{R}^3)$, where $Gamma$ is a smooth surface which is either compact or periodic and satisfies suitable regularity requirements. We find an asymptotic expansion for the lower part of the spectrum as $alphatoinfty$ which involves a ``two-dimensional'' comparison operator determined by the geometry of the surface $Gamma$. In the compact case the asymptotics concerns negative eigenvalues, in the periodic case Floquet eigenvalues. We also give a bandwidth estimate in the case when a periodic $Gamma$ decomposes into compact connected components. Finally, we comment on analogous systems of lower dimension and other aspects of the problem." @default.
- W1494623705 created "2016-06-24" @default.
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- W1494623705 date "2003-01-15" @default.
- W1494623705 modified "2023-09-27" @default.
- W1494623705 title "Spectral properties of Schroedinger operators with a strongly attractive delta interaction supported by a surface" @default.
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