Scattering operator and wave operators for 2D Schr\"odinger operators with threshold obstructions
Mathematical Physics
2021-09-01 v2 Functional Analysis
math.MP
Spectral Theory
Abstract
We determine the low-energy behaviour of the scattering operator of two-dimensional Schr\"odinger operators with any type of obstructions at 0-energy. We also derive explicit formulas for the wave operators in the absence of p-resonances, and outline in this case a topological version of Levinson's theorem.
Cite
@article{arxiv.2009.13965,
title = {Scattering operator and wave operators for 2D Schr\"odinger operators with threshold obstructions},
author = {Serge Richard and Rafael Tiedra de Aldecoa and Lyang Zhang},
journal= {arXiv preprint arXiv:2009.13965},
year = {2021}
}
Comments
Revised version. To appear in Complex Analysis and Operator Theory