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Long-range scattering for discrete Schrödinger operators

Published 9 May 2016 in math-ph and math.MP | (1605.02466v2)

Abstract: In this paper, we define time-independent modifiers to construct a long-range scattering theory for discrete schr\"odinger operators on the square lattice $\mathbb{Z}N$. We prove the existence and completeness of modified wave operators in terms of the above mentioned time-independent modifiers.

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