Approximations by graphs and emergence of global structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F06%3A00032291" target="_blank" >RIV/61389005:_____/06:00032291 - isvavai.cz</a>

Alternative codes found

RIV/62690094:18440/06:00002209

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Approximations by graphs and emergence of global structures

Original language description

We study approximations of billiard systems by lattice graphs., It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrodinger equation with energy rescaled by the billiard dimension. As an example, weanalyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed-in complex networks of a different nature.

Czech name

Aproximace prostřednictvím grafů a vznik globálních struktur

Czech description

Studujeme aproximace biliárových systémů pomocí mřižových grafů.

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

2006

Confidentiality

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

Name of the periodical

Acta Physica Polonica. A

ISSN

0587-4246

e-ISSN

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Volume of the periodical

109

Issue of the periodical within the volume

1

Country of publishing house

PL - POLAND

Number of pages

9

Pages from-to

23-31

UT code for WoS article

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EID of the result in the Scopus database

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