Eigenvalue asymptotics for the schrodinger operator with a delta-interaction on a punctured surface.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F03%3A49033236" target="_blank" >RIV/61389005:_____/03:49033236 - isvavai.cz</a>

Alternative codes found

RIV/61389005:_____/04:00101857

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Eigenvalue asymptotics for the schrodinger operator with a delta-interaction on a punctured surface.

Original language description

Given ngreater than or equal to2, we put r = min{i is an element of N; i > n/2}. Let Sigma be a compact, C-r-smooth surface in R-n which contains the origin. Let further {S-epsilon}(0less than or equal toepsilon<&eta;) be a family of measurable subsets of &USigma; such that sup(x&ISIN;S&epsilon;) x = O(&epsilon;) as &epsilon; --> 0. We derive an asymptotic expansion for the discrete spectrum of the Schrodinger operator - Delta - betadelta(.-SigmaS-epsilon) in L-2(R-n), where beta is a positive constant,as epsilon --> 0. An analogous result is given also for geometrically induced bound states due to a delta interaction supported by an infinite planar curve.

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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2004

Confidentiality

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

Name of the periodical

Letters in Mathematical Physics

ISSN

0377-9017

e-ISSN

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Volume of the periodical

65

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

8

Pages from-to

19-26

UT code for WoS article

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EID of the result in the Scopus database

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