Curvature-induced bound states for a delta interaction supported by a curve in R-3.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F02%3A49027187" target="_blank" >RIV/61389005:_____/02:49027187 - 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

Curvature-induced bound states for a delta interaction supported by a curve in R-3.

Original language description

We study the Laplacian in L-2(R-3) perturbed on an infinite curve Gamma by a delta interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if Gamma is smooth and not a straight line but itis asymptotically straight in a suitable sense, and if the interaction does not vary along the curve, the perturbed operator has at least one isolated eigenvalue below the threshold of the essential spectrum.

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

BG - Nuclear, atomic and molecular physics, accelerators

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

2002

Confidentiality

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

Name of the periodical

Annales Henri Poincare

ISSN

1424-0637

e-ISSN

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Volume of the periodical

3

Issue of the periodical within the volume

5

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

967-981

UT code for WoS article

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EID of the result in the Scopus database

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