Schroedinger wave operators on the discrete half-line
Functional Analysis
2019-07-09 v1
Abstract
An explicit formula for the wave operators associated with Schroedinger operators on the discrete half-line is deduced from their stationary expressions. The formula enables us to understand the wave operators as one dimensional pseudo-differential operators of order zero. As an application, we give a topological interpretation for Levinson's theorem, which relates the scattering phase shift and the number of bound states of the system.
Cite
@article{arxiv.1907.03243,
title = {Schroedinger wave operators on the discrete half-line},
author = {Hideki Inoue and Naohiro Tsuzu},
journal= {arXiv preprint arXiv:1907.03243},
year = {2019}
}
Comments
10 pages