The $L^p$ boundedness of wave operators for the three-dimensional multi-centre point interaction
Mathematical Physics
2018-03-28 v3 Functional Analysis
math.MP
Abstract
We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schr\"odinger operators with multi-centre local point interactions are bounded in for and unbounded otherwise.
Keywords
Cite
@article{arxiv.1704.04263,
title = {The $L^p$ boundedness of wave operators for the three-dimensional multi-centre point interaction},
author = {Gianfausto Dell'Antonio and Alessandro Michelangeli and Raffaele Scandone and Kenji Yajima},
journal= {arXiv preprint arXiv:1704.04263},
year = {2018}
}
Comments
to appear on Annales Henri Poincar\'e, 2017