Ring chains with vertex coupling of a preferred orientation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00540723" target="_blank" >RIV/61389005:_____/21:00540723 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/21:00355946
Result on the web
<a href="https://doi.org/10.1142/S0129055X20600053" target="_blank" >https://doi.org/10.1142/S0129055X20600053</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0129055X20600053" target="_blank" >10.1142/S0129055X20600053</a>
Alternative languages
Result language
angličtina
Original language name
Ring chains with vertex coupling of a preferred orientation
Original language description
We consider a family of Schrodinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length l > 0 with the vertex coupling which is non-invariant with respect to the time reversal. The spectral behavior of the model illustrates that the high-energy behavior of such vertices is determined by the vertex parity. The positive spectrum of the tightly connected chain covers the entire halfline while the one of the loose chain is dominated by gaps. In addition, there is a negative spectrum consisting of an infinitely degenerate eigenvalue in the former case, and of one or two absolutely continuous bands in the latter. Furthermore, we discuss the limit l -> 0 and show that while the spectrum converges as a set to that of the tight chain, as it should in view of a result by Berkolaiko, Latushkin, and Sukhtaiev, this limit is rather non-uniform.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Reviews in Mathematical Physics
ISSN
0129-055X
e-ISSN
1793-6659
Volume of the periodical
33
Issue of the periodical within the volume
1
Country of publishing house
SG - SINGAPORE
Number of pages
14
Pages from-to
2060005
UT code for WoS article
000613313200006
EID of the result in the Scopus database
2-s2.0-85083369624