TY  - JOUR
A1  - Güneysu, Batu
A1  - Keller, Matthias
T1  - Scattering the Geometry of Weighted Graphs
JF  - Mathematical physics, analysis and geometry : an international journal devoted to the theory and applications of analysis and geometry to physics
N2  - Given two weighted graphs (X, b(k), m(k)), k = 1, 2 with b(1) similar to b(2) and m(1) similar to m(2), we prove a weighted L-1-criterion for the existence and completeness of the wave operators W-+/- (H-2, H-1, I-1,I-2), where H-k denotes the natural Laplacian in l(2)(X, m(k)) w.r.t. (X, b(k), m(k)) and I-1,I-2 the trivial identification of l(2)(X, m(1)) with l(2) (X, m(2)). In particular, this entails a general criterion for the absolutely continuous spectra of H-1 and H-2 to be equal.
KW  - Graphs
KW  - Laplacian
KW  - Scattering theory
Y1  - 2018
U6  - https://doi.org/10.1007/s11040-018-9285-1
SN  - 1385-0172
SN  - 1572-9656
VL  - 21
IS  - 3
PB  - Springer
CY  - Dordrecht
ER  -