Tunneling in soft waveguides: closing a book

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00584754" target="_blank" >RIV/61389005:_____/24:00584754 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/24:00381596 RIV/00216208:11320/24:10495257
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ad2c80" target="_blank" >https://doi.org/10.1088/1751-8121/ad2c80</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ad2c80" target="_blank" >10.1088/1751-8121/ad2c80</a>

Result language
angličtina
Original language name
Tunneling in soft waveguides: closing a book
Original language description
We investigate the spectrum of a soft quantum waveguide in two dimensions of the generalized 'bookcover' shape, that is, Schrodinger operator with the potential in the form of a ditch consisting of a finite curved part and straight asymptotes which are parallel or almost parallel pointing in the same direction. We show how the eigenvalues accumulate when the angle between the asymptotes tends to zero. In case of parallel asymptotes the existence of a discrete spectrum depends on the ditch profile. We prove that it is absent in the weak-coupling case, on the other hand, it exists provided the transverse potential is strong enough. We also present a numerical example in which the critical strength can be assessed.
Czech name
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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/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</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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