Magnetic Schroedinger operator with the potential supported in a curved two-dimensional strip

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F24%3AA2502O3O" target="_blank" >RIV/61988987:17310/24:A2502O3O - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s00009-024-02651-y" target="_blank" >https://link.springer.com/article/10.1007/s00009-024-02651-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00009-024-02651-y" target="_blank" >10.1007/s00009-024-02651-y</a>

Result language

angličtina

Original language name

Magnetic Schroedinger operator with the potential supported in a curved two-dimensional strip

Original language description

We consider the magnetic Schroedinger operator $H = (inabla + A)^2 - V$ with a non-negative potential $V$ supported over a strip which is a local deformation of a straight one, and the magnetic field $B := rot(A)$ is assumed to be non-zero and local. We show that the magnetic field does not change the essential spectrum of this system, and investigate a sufficient condition for the discrete spectrum of $H$ to be empty.

Czech name

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Czech description

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Type

J_imp - 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

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

MEDITERR J MATH

ISSN

1660-5446

e-ISSN

16605446

Volume of the periodical

—

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

15

Pages from-to

1-15

UT code for WoS article

001225929300004

EID of the result in the Scopus database

2-s2.0-85191968032