Asymptotics of eigenvalues of the Schrodinger operator with a strong delta-interaction on a loop.

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Asymptotics of eigenvalues of the Schrodinger operator with a strong delta-interaction on a loop.
Original language description
In this paper we investigate the operator H-beta = -Delta - betadelta((.) - Gamma) in L-2(R-2), where beta > 0 and Gamma is a closed C-4 Jordan curve in R-2. We obtain the asymptotic form of each eigenvalue of H-beta as beta tends to infinity. We also get the asymptotic form of the number of negative eigenvalues of H in the strong coupling asymptotic regime.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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