Gap Control by Singular Schrodinger Operators in a Periodically Structured Metamaterial
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00497542" target="_blank" >RIV/61389005:_____/18:00497542 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00328102
Result on the web
<a href="http://dx.doi.org/10.15407/mag14.03.270" target="_blank" >http://dx.doi.org/10.15407/mag14.03.270</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15407/mag14.03.270" target="_blank" >10.15407/mag14.03.270</a>
Alternative languages
Result language
angličtina
Original language name
Gap Control by Singular Schrodinger Operators in a Periodically Structured Metamaterial
Original language description
We consider a family {H-epsilon}(epsilon>0) of epsilon Z(n)-periodic Schrodinger operators with delta'-interactions supported on a lattice of closed compact surfaces. Within a minimum period cell one has m is an element of N surfaces. We show that in the limit when epsilon -> 0 and the interactions strengths are appropriately scaled, H-epsilon has at most m gaps within finite intervals, and moreover, the limiting behavior of the first m gaps can be completely controlled through a suitable choice of those surfaces and of the interactions strengths.
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
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Physics Analysis Geometry
ISSN
1812-9471
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
3
Country of publishing house
UA - UKRAINE
Number of pages
16
Pages from-to
270-285
UT code for WoS article
000450683100002
EID of the result in the Scopus database
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