Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential
Analysis of PDEs
2018-09-07 v1
Abstract
In this paper we consider the inverse scattering problem for the Schr{\"o}dinger operator with short-range electric potential. We prove in dimension n 2 that the knowledge of the scattering operator determines the electric potential and we establish H{\"o}lder-type stability in determining the short range electric potential.
Keywords
Cite
@article{arxiv.1809.01893,
title = {Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential},
author = {Luc Robbiano and Mourad Bellassoued},
journal= {arXiv preprint arXiv:1809.01893},
year = {2018}
}