Soft quantum waveguides with an explicit cut-locus

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00353886" target="_blank" >RIV/68407700:21340/21:00353886 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/21:50018314
Result on the web
<a href="https://doi.org/10.1088/1751-8121/abf05e" target="_blank" >https://doi.org/10.1088/1751-8121/abf05e</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/abf05e" target="_blank" >10.1088/1751-8121/abf05e</a>

Result language
angličtina
Original language name
Soft quantum waveguides with an explicit cut-locus
Original language description
We consider two-dimensional Schrödinger operators with an attractive potential in the form of a channel of a fixed profile built along an unbounded curve composed of a circular arc and two straight semi-lines. Using a test-function argument with help of parallel coordinates outside the cut-locus of the curve, we establish the existence of discrete eigenvalues. This is a special variant of a recent result of Exner (2020 J. Phys. A: Math. Theor. 53 355302) in a non-smooth case and via a different technique which does not require non-positive constraining potentials.
Czech name
—
Czech description
—

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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)