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

Result code in IS VaVaI

RIV/61389005:_____/02:49020019 - isvavai.cz

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_x - 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)
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

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Volume of the periodical

41

Issue of the periodical within the volume

4

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

15

Pages from-to

344-358

UT code for WoS article

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EID of the result in the Scopus database

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