Effective quantum dynamics on the Möbius strip

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F20%3A00341110" target="_blank" >RIV/68407700:21240/20:00341110 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00341110
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ab8b3a" target="_blank" >https://doi.org/10.1088/1751-8121/ab8b3a</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ab8b3a" target="_blank" >10.1088/1751-8121/ab8b3a</a>

Result language
angličtina
Original language name
Effective quantum dynamics on the Möbius strip
Original language description
The Laplace-Beltrami operator in the curved Möbius strip is investigated in the limit when the width of the strip tends to zero. By establishing a norm-resolvent convergence, it is shown that spectral properties of the operator are approximated well by an unconventional flat model whose spectrum can be computed explicitly in terms of Mathieu functions. Contrary to the traditional flat Möbius strip, our effective model contains a geometric potential. A comparison of the three models is made and analytical results are accompanied by numerical computations.
Czech name
—
Czech description
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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
10100 - Mathematics

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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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