- Tytuł:
- Approximations by Graphs and Emergence of Global Structures
- Autorzy:
-
Exner, P.
Hejčík, P.
Šeba, P. - Powiązania:
- https://bibliotekanauki.pl/articles/2044581.pdf
- Data publikacji:
- 2006-01
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
- 03.65.Nk
- Opis:
- 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.
- Źródło:
-
Acta Physica Polonica A; 2006, 109, 1; 23-31
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł