Long-range scattering for discrete Schrödinger operators

Abstract

In this paper, we define time-independent modifiers to construct a long-range scattering theory for discrete schrödinger 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.

arXiv comment28 pages, Assumption 1.1 replaced, reference added, typos corrected, layout modified