Long-range scattering for discrete Schr\"odinger operators
Mathematical Physics
2018-07-10 v2 math.MP
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 . We prove the existence and completeness of modified wave operators in terms of the above mentioned time-independent modifiers.
Keywords
Cite
@article{arxiv.1605.02466,
title = {Long-range scattering for discrete Schr\"odinger operators},
author = {Yukihide Tadano},
journal= {arXiv preprint arXiv:1605.02466},
year = {2018}
}
Comments
28 pages, Assumption 1.1 replaced, reference added, typos corrected, layout modified