Bound states in soft quantum layers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00377091" target="_blank" >RIV/68407700:21340/24:00377091 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/24:50022149
Result on the web
<a href="https://doi.org/10.4171/PRIMS/60-4-4" target="_blank" >https://doi.org/10.4171/PRIMS/60-4-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/PRIMS/60-4-4" target="_blank" >10.4171/PRIMS/60-4-4</a>

Result language
angličtina
Original language name
Bound states in soft quantum layers
Original language description
We develop a general approach to study three-dimensional Schrodinger operators with confining potentials depending on the distance to a surface. The main idea is to apply parallel coordinates based on the surface but outside its cut locus in the Euclidean space. If the surface is asymptotically planar in a suitable sense, we give an estimate on the location of the essential spectrum of the Schrodinger operator. Moreover, if the surface coincides up to a compact subset with a surface of revolution with strictly positive total Gauss curvature, it is shown that the Schrodinger operator possesses an infinite number of discrete eigenvalues
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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