Title of article
Approximations by graphs and emergence of global structures
Author/Authors
Exner، نويسنده , , Pavel and Hej??k، نويسنده , , Pavel and ?eba، نويسنده , , Petr، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
11
From page
445
To page
455
Abstract
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrِdinger equation with energy resealed by the billiard dimension. As an example, we analyze a Sinai billiard and a scattering system obtained by attaching a pair of external leads to it. The results illustrate emergence of global structures in large quantum graphs.
Keywords
Transport properties , Schrِdinger equation , Sinai billiard , approximation , lattice quantum graphs
Journal title
Reports on Mathematical Physics
Serial Year
2006
Journal title
Reports on Mathematical Physics
Record number
1585744
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