Persistent currents for the 2D Schrodinger operator with a strong delta-interaction on a loop.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F02%3A49020033" target="_blank" >RIV/61389005:_____/02:49020033 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Persistent currents for the 2D Schrodinger operator with a strong delta-interaction on a loop.

Original language description

We investigate the two-demensional magnetic Schrodinger operator H-B,H-beta = (-idel - A)(2) - betadelta(. - Gamma), where Gamma is a smooth loop and the vector potential A corresponds to a homogeneous magnetic field B perpendicular to the plane. The asymptotics of negative eigenvalues of H-B,H-beta for beta --> infinity is found. It shows, in particular, that for large enough positive beta the system exhibits persistent currents.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

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

Name of the periodical

Journal of Physics. A-Mathematical and General

ISSN

0305-4470

e-ISSN

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Volume of the periodical

35

Issue of the periodical within the volume

15

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

3479-3487

UT code for WoS article

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EID of the result in the Scopus database

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