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

2015/10/12 by Taisuke Yoneyama, Yoneyama, Taisuke, Keiichi Kato +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1510.03255

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

arxiv created 2015/12/04 · arxiv updated 2015/12/07

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.

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