Absolute continuity in periodic thin tubes and strongly coupled leaky wires.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F03%3A49033240" target="_blank" >RIV/61389005:_____/03:49033240 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Absolute continuity in periodic thin tubes and strongly coupled leaky wires.
Original language description
Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or three dimensions is absolutely continuous provided the tube is sufficientlythin. In a similar way we demonstrate absolute continuity at the bottom of the spectrum for generalized Schrodinger operators with a sufficiently strongly attractive delta interaction supported by a periodic curve in R-d, d = 2, 3.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
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
75-82
UT code for WoS article
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EID of the result in the Scopus database
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