A geometric approximation of delta-interactions by Neumann Laplacians
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00547649" target="_blank" >RIV/61389005:_____/21:00547649 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/21:50018509
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ac2d52" target="_blank" >https://doi.org/10.1088/1751-8121/ac2d52</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ac2d52" target="_blank" >10.1088/1751-8121/ac2d52</a>
Alternative languages
Result language
angličtina
Original language name
A geometric approximation of delta-interactions by Neumann Laplacians
Original language description
We demonstrate how to approximate one-dimensional Schrodinger operators with delta-interaction by a Neumann Laplacian on a narrow waveguide-like domain. Namely, we consider a domain consisting of a straight strip and a small protuberance with 'room-and-passage' geometry. We show that in the limit when the perpendicular size of the strip tends to zero, and the room and the passage are appropriately scaled, the Neumann Laplacian on this domain converges in generalised norm resolvent sense to the above singular Schrodinger operator. Also we prove Hausdorff convergence of the spectra. In both cases estimates on the rate of convergence are derived.
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/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>
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
Journal of Physics A-Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
1751-8121
Volume of the periodical
54
Issue of the periodical within the volume
46
Country of publishing house
GB - UNITED KINGDOM
Number of pages
27
Pages from-to
465201
UT code for WoS article
000710698800001
EID of the result in the Scopus database
2-s2.0-85118758115