Spectra of soft ring graphs
Result description
We discuss a ring-shaped soft quantum wire modelled by 6 interaction supported by the ring with a generally nonconstant coupling strength. We derive the condition which determines the discrete spectrum of such systems, and analyse the dependence of the eigenvalues and eigenfunctions on the coupling and ring geometry. In particular, we illustrate that a random component in the coupling leads to a localization. The discrete spectrum is also investigated in the situation when the ring is placed into a homogeneous magnetic field or threaded by an Aharonov-Bohm flux and the system exhibits persistent currents.
Keywords
strong delta-interactionband-gap structureschrodinger operator
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Spectra of soft ring graphs
Original language description
We discuss a ring-shaped soft quantum wire modelled by 6 interaction supported by the ring with a generally nonconstant coupling strength. We derive the condition which determines the discrete spectrum of such systems, and analyse the dependence of the eigenvalues and eigenfunctions on the coupling and ring geometry. In particular, we illustrate that a random component in the coupling leads to a localization. The discrete spectrum is also investigated in the situation when the ring is placed into a homogeneous magnetic field or threaded by an Aharonov-Bohm flux and the system exhibits persistent currents.
Czech name
Spektra měkkých prstencovýh grafů
Czech description
Byl studován měkký kvantový drát prstencovitého tvaru modelovaný 6ti interakcemi nesenými prstencem, obecně s nekonstantní vazbou. Byly diskutovány spektrální vlastnosti v závislosti na vazbách. Byl vyšetřován také systém vložený v homogenním magnetickémpoli.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Waves in Random Media
ISSN
0959-7174
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
4
Pages from-to
"S47"-"S60"
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2004