Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice

Details Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice

2011-10-18

arxiv.org/abs/1110.3922v1

Mathematics

Spectral Theory

60 pages, 6 figures

Scientific paper

We consider the spectral theory for discrete Schr\"odinger 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.

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