Wave operator bounds for 1-dimensional Schr\"odinger operators with singular potentials and applications
Analysis of PDEs
2021-10-01 v1 Mathematical Physics
math.MP
Abstract
Boundedness of wave operators for Schr\"odinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.
Cite
@article{arxiv.1005.4943,
title = {Wave operator bounds for 1-dimensional Schr\"odinger operators with singular potentials and applications},
author = {Vincent Duchêne and Jeremy L. Marzuola and Michael I. Weinstein},
journal= {arXiv preprint arXiv:1005.4943},
year = {2021}
}
Comments
16 pages, 0 figures