Magnetic field influence on the discrete spectrum of locally deformed leaky wires

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA22029W1" target="_blank" >RIV/61988987:17310/21:A22029W1 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/21:00545190 RIV/68407700:21340/21:00355991
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0034487721000550" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0034487721000550</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/S0034-4877(21)00055-0" target="_blank" >10.1016/S0034-4877(21)00055-0</a>

Result language
angličtina
Original language name
Magnetic field influence on the discrete spectrum of locally deformed leaky wires
Original language description
We consider magnetic Schrödinger operator ???? with an attractive singular interaction supported by a piecewise smooth curve Γ being a local deformation of a straight line. Such a Hamiltonian describes a charged particle confined to a leaky quantum wire and exposed to the magnetic field ???? which is supposed to be nonzero and local. We show that the essential spectrum of this system is the same as for the nonmagnetic operator with a straight Γ, and demonstrate a sufficient condition for the discrete spectrum of ???? to be empty.
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/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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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