Three-dimensional magnetic Schrödinger operator with the potential supported in a tube

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603BJ5" target="_blank" >RIV/61988987:17310/25:A2603BJ5 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s43034-025-00473-x" target="_blank" >https://link.springer.com/article/10.1007/s43034-025-00473-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s43034-025-00473-x" target="_blank" >10.1007/s43034-025-00473-x</a>

Result language
angličtina
Original language name
Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
Original language description
In this paper, we study the following magnetic Schrödinger operator in $mathbb{R}^3$: [ H=(i nabla +A)^2- tilde{V}, ] where $tilde{V}$ is non-negative potential supported over the tube built along a curve which is a local deformation of a straight one, and $B:=mathrm{curl}(A)$ is a non-zero and local (i.e., a compact supported) magnetic field. We prove that the magnetic field does not alter the essential spectrum of this system and establish a sufficient condition for the discrete spectrum to be empty.
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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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