Inverse scattering at a fixed energy for discrere Schrödinger operators on the square lattice

Published 22 Aug 2012 in math.SP, math-ph, and math.MP | (1208.4483v2)

Abstract: We study an inverse scattering problem for the discrete Schr\"{o}dinger operator on the multi-dimensional square lattice, with compactly supported potential. We show that the potential is uniquely reconstructed from a scattering matrix for a fixed energy.

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