Aarhus Universitets segl

Inverse scattering on perturbed periodic lattices - POSTPONED

Hiroshi Isozaki (University of Tsukuba )
Torsdag 22. februar 2018 16:15–17:00 Aud. D3 (1531-215)
We consider the inverse scattering problem associated with Schroedinger operators on perturbed periodic lattices. Our final goal is the reconstruction of the potential on each vertex or the defect of the lattice from the scattering matrix. A typical example is the graphen based on the hexagonal lattice. The main tool is the stationary scattering theory developed for Schroedinger operators for continuous models. In particular, micro-local calculus on the torus, elementary algebraic geometry as well as techniques developed for graph Laplacians play an effective role to study the Lattice Schroedinger operators, revealing clear parallelism between them. These ideas are also applied to the inverse scattering for the metric graph, in which case we reconstruct the potentials on each edge from the S-matrix.
Kontakt: Erik Skibsted Revideret: 12.06.2020