The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F12%3A00374993" target="_blank" >RIV/61389005:_____/12:00374993 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3233/ASY-2011-1061" target="_blank" >http://dx.doi.org/10.3233/ASY-2011-1061</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3233/ASY-2011-1061" target="_blank" >10.3233/ASY-2011-1061</a>

Result language
angličtina
Original language name
The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
Original language description
The Laplacian in an unbounded tubular neighbourhood of a hyperplane with non-Hermitian complex-symmetric Robin-type boundary conditions is investigated in the limit when the width of the neighbourhood diminishes. We show that the Laplacian converges in anorm resolvent sense to a self-adjoint Schrodinger operator in the hyperplane whose potential is expressed solely in terms of the boundary coupling function. As a consequence, we are able to explain some peculiar spectral properties of the non-HermitianLaplacian by known results for Schrodinger operators.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BM - Solid-state physics and magnetism
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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