Bound states due to a strong delta interaction supported by a curved surface.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F03%3A49033012" target="_blank" >RIV/61389005:_____/03:49033012 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Bound states due to a strong delta interaction supported by a curved surface.
Original language description
We study the Schrodinger operator -Delta-alphadelta(x-Gamma) in L-2(R-3) with a delta interaction supported by an infinite non-planar surface Gamma with is smooth and admits a global normal parametrization with a uniformy elliptic metric. We show that ifGamma is asymptotically planar in a suitable sense and alpha > 0 is sufficiently large, this operator has a non-empty discrete spectrum and derive an asymptotic expansion of the eigenvalues in terms of a `two-dimensional` comparison operator determinedby the geometry of the surface Gamma.
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
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/IAA1048101" target="_blank" >IAA1048101: Quantum graphs and related systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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