Approximations by graphs and emergence of global structures

被引：2
|
作者：
Exner, P [1 ]
Hejcík, P
Seba, P
机构：
[1] Acad Sci Czech Republ, Inst Nucl Phys, CZ-25068 Rez, Czech Republic
[2] Czech Tech Univ, Doppler Inst, Prague 11519, Czech Republic
[3] Univ Hradec Kralove, Hradec Kralove 50002, Czech Republic
来源：
ACTA PHYSICA POLONICA A | 2006年 / 109卷 / 01期
关键词：
D O I：
10.12693/APhysPolA.109.23
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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, 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.
引用
收藏
页码：23 / 31
页数：9
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