Aharonov and Bohm versus Welsh eigenvalues

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00492098" target="_blank" >RIV/61389005:_____/18:00492098 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00328115
Result on the web
<a href="http://dx.doi.org/10.1007/s11005-018-1069-9" target="_blank" >http://dx.doi.org/10.1007/s11005-018-1069-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-018-1069-9" target="_blank" >10.1007/s11005-018-1069-9</a>

Result language
angličtina
Original language name
Aharonov and Bohm versus Welsh eigenvalues
Original language description
We consider a class of two-dimensional Schrodinger operator with a singular interaction of the d type and a fixed strength ss supported by an infinite family of concentric, equidistantly spaced circles, and discuss what happens below the essential spectrum when the system is amended by an Aharonov-Bohm flux a. [0, 1 2] in the center. It is shown that if ss = 0, there is a critical value acrit. (0, 1 2) such that the discrete spectrum has an accumulation point when a < acrit, while for a = acrit the number of eigenvalues is at most finite, in particular, the discrete spectrum is empty for any fixed a. (0, 1 2) and | ss| small enough.
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
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/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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