English

Characterization of the ranges of wave operators for Schrodinger equations with time-dependent short-range potentials via wave packet transform

Analysis of PDEs 2015-12-07 v2

Abstract

In this paper, we give a characterization of the ranges of the wave operators for Schrodinger equations with time-dependent short-range potentials by using wave packet transform. We also give an alternative proof of the existence of the wave operators for time-dependent potentials and the asymptotic completeness for timeindependent potentials.

Keywords

Cite

@article{arxiv.1510.03255,
  title  = {Characterization of the ranges of wave operators for Schrodinger equations with time-dependent short-range potentials via wave packet transform},
  author = {Taisuke Yoneyama and Keiichi Kato},
  journal= {arXiv preprint arXiv:1510.03255},
  year   = {2015}
}

Comments

This article contains the results of "Scattering theory for Schrodinger equations with time-dependent short-range potentials via wave packet transform"(arXiv:1502.07170)