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Approximations by Graphs and Emergence of Global Structures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F06%3A04122910" target="_blank" >RIV/68407700:21340/06:04122910 - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/06:00043769 RIV/62690094:18440/06:00002102

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • 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 Schrödinger equation with energy rescaled by the billiard dimension.

  • Czech name

    Aproximace pomocí grafů a vynoření globálních struktur

  • Czech description

    Studujeme aproximace systémů biliárového typu pomocí mřížových grafů. Dokazujeme, že za přirozených předpokladů vlnové funkce na grafu aproximují řešení Schrödingerovy rovnice s energií přeškálovanou dimensí biliáru.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Reports on Mathematical Physics

  • ISSN

    0034-4877

  • e-ISSN

  • Volume of the periodical

    57

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    11

  • Pages from-to

    445-455

  • UT code for WoS article

  • EID of the result in the Scopus database