Inverse scattering at a fixed energy for discrere Schr\"{o}dinger   operators on the square lattice
  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. 
Hiroshi Isozaki and Hisashi Morioka
math.SP math-ph math.MP