Leaky quantum graphs: approximations by point-interaction Hamiltonians.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F03%3A49033239" target="_blank" >RIV/61389005:_____/03:49033239 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Leaky quantum graphs: approximations by point-interaction Hamiltonians.

Original language description

We prove an approximation result showing how operators of the type -Delta - gammadelta(x - Gamma) in L-2(R-2), where Gamma is a graph, can be modelled in the strong resolvent sense by point-interaction Hamiltonians with an appropriate arrangement of thedelta potentials. The result is illustrated on finding the spectral properties in cases when Gamma is a ring or a star. Furthermore, we use this method to indicate that scattering on an infinite curve I, which is locally close to a loop shape or has multiple bends may exhibit resonances due to quantum tunnelling or repeated reflections.

Czech name

—

Czech description

—

Type

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

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

<a href="/en/project/IAA1048101" target="_blank" >IAA1048101: Quantum graphs and related systems</a><br>

Continuities

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

Publication year

2003

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

—

Volume of the periodical

36

Issue of the periodical within the volume

40

Country of publishing house

GB - UNITED KINGDOM

Number of pages

21

Pages from-to

10173-10193

UT code for WoS article

—

EID of the result in the Scopus database

—