Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in R^3

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F07%3A04133573" target="_blank" >RIV/68407700:21340/07:04133573 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/07:00096360
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in R^3
Original language description
We consider a model of leaky quantum wires in three dimensions. The Hamiltonian is a singular perturbation of the Laplacian supported by a line with the coupling which is bounded and periodically modulated along the line. We demonstrate that such a system has a purely absolutely continuous spectrum and its negative part has band structure with an at most finite number of gaps. This result is extended also to the situation when there is an infinite number of the lines supporting the perturbations arranged periodically in one direction.
Czech name
Absolutní spojitost spectra pro periodicky modulované měkké dráty v R^3
Czech description
Pro měkký kvantový graf ve třech dimensích, jenž je periodický, dokazujeme absolutní spojitost spektra.

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)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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