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arxiv: 1110.3922 · v1 · pith:JZYW5OGKnew · submitted 2011-10-18 · 🧮 math.SP

Inverse scattering theory for discrete Schr\"odinger operators on the hexagonal lattice

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keywords scatteringinverselatticediscretehexagonalodingeroperatorsproblem
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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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