Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice

Abstract

We consider the spectral theory for discrete Schrödinger operators on the hexagonal lattice and their inverse scattering problem. We give a procedure for reconstructing the compactly supported potential from the scattering matrix for all energies. The same procedure is applicable for the inverse scattering problem on the triangle lattice.

60 pages, 6 figures

References in corpus (2)

• The electronic properties of graphene
• The Electronic Spectrum of Fullerenes from the Dirac Equation

Cited by in corpus (2)

• Laplacians on periodic discrete graphs
• Gel'fand's inverse problem for the graph Laplacian