Discrete wave scattering on a star-graph

S.Fedorov, B.Pavlov

Abstract

We consider the spectral problem for the adjacency
matrix of a graph composed of a compact part with a few
semi-infinite periodic leads attached. Based on the spectral
properties of the adjacency matrix we develop Lax-Phillips
scattering theory for the corresponding discrete wave equation.

Keywords
adjacency matrix, incoming/outgoing subspaces, resonances

Math Review Classification
Primary 47A40, 81U15 ; Secondary 05045

Last Updated
25.12.05

Length
11 pages

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