Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice

2011/10/18 by Ando, Kazunori · 1 citation
#39A12 #47B39 (Secondaries) #81U40 (Primary) 35P25 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1110.3922

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.

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