Spectral properties of spiral-shaped quantum waveguides

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00538785" target="_blank" >RIV/61389005:_____/20:00538785 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00346538
Result on the web
<a href="https://doi.org/10.1088/1751-8121/abc5d3" target="_blank" >https://doi.org/10.1088/1751-8121/abc5d3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/abc5d3" target="_blank" >10.1088/1751-8121/abc5d3</a>

Result language
angličtina
Original language name
Spectral properties of spiral-shaped quantum waveguides
Original language description
We investigate properties of a particle confined to a hard-wall spiral-shaped region. As a case study we analyze in detail the Archimedean spiral for which the spectrum above the continuumthreshold is absolutely continuous away from the thresholds.The subtle difference between the radial and perpendicularwidth implies, however, that in contrast to the 'less curved' waveguides, the discrete spectrum is empty in this case. We also discuss modifications such as multiarm Archimedean spirals and spiral waveguides with a central cavity. In the latter case bound state already exist if the cavity radius exceeds a critical size. For more general spiral regions the spectral nature depends on whether they are 'expanding' or 'shrinking'. The most interesting situation occurs in the asymptotically Archimedean case where the existence of bound states depends on the direction from which the asymptotical value of width is reached.
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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