Spectral properties of soft quantum waveguides

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00532016" target="_blank" >RIV/61389005:_____/20:00532016 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00346531
Result on the web
<a href="https://doi.org/10.1088/1751-8121/aba0f0" target="_blank" >https://doi.org/10.1088/1751-8121/aba0f0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/aba0f0" target="_blank" >10.1088/1751-8121/aba0f0</a>

Result language
angličtina
Original language name
Spectral properties of soft quantum waveguides
Original language description
We consider a soft quantum waveguide described by a two-dimensional Schrodinger operator with an attractive potential in the form of a channel of a fixed profile built along an infinite smooth curve which is not straight but it is asymptotically straight in a suitable sense. Using the Birman-Schwinger principle we show that the discrete spectrum of such an operator is nonempty if the potential well defining the channel profile is deep and narrow enough. Some related problems are also mentioned.
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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