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2006 | 109 | 1 | 23-31
Article title

Approximations by Graphs and Emergence of Global Structures

Content
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EN
Abstracts
EN
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. As an example, we analyze 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.
Keywords
EN
Publisher

Year
Volume
109
Issue
1
Pages
23-31
Physical description
Dates
published
2006-01
received
2005-05-19
Contributors
author
  • Nuclear Physics Institute, Czech Academy of Sciences, 25068 Řežnear Prague, Czechia
  • Doppler Institute, Czech Technical University, Břehová 7, 11519 Prague, Czechia
author
  • University of Hradec Králové, Víta Nejedého 573, 50002 Hradec Králové, Czechia
author
  • Doppler Institute, Czech Technical University, Břehová 7, 11519 Prague, Czechia
  • University of Hradec Králové, Víta Nejedého 573, 50002 Hradec Králové, Czechia
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv109n102kz
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