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Modified wave operators for discrete Schrödinger operators with long-range perturbations (1403.2795v1)
Published 12 Mar 2014 in math-ph, math.AP, and math.MP
Abstract: We consider the scattering theory for discrete Schr\"odinger operators on $Zd$ with long-range potentials. We prove the existence of modified wave operators constructed in terms of solutions of a Hamilton-Jacobi equation on the torus $Td$.