On the approximation by regular potentials of Schr\"odinger operators with point interactions
Mathematical Physics
2019-08-09 v1 math.MP
Abstract
We prove that the wave operators for Schr\"odinger operators with multi-center local point interactions are the scaling limits of the ones for Schr\"odinger operators with regular potentials. We simultaneously present a proof of the corresponding well-known result for the resolvent which substantially simplifies the one by Albeverio et al.
Cite
@article{arxiv.1908.02936,
title = {On the approximation by regular potentials of Schr\"odinger operators with point interactions},
author = {Artbazar Galtbayar and Kenji Yajima},
journal= {arXiv preprint arXiv:1908.02936},
year = {2019}
}
Comments
27 pages