Scattering theory for Schrodinger equations with time-dependent short-range potentials via wave packet transform
Taisuke Yoneyama, Keiichi Kato
TL;DR
This paper investigates the existence and asymptotic completeness of wave operators for Schrödinger equations with short-range, time-dependent potentials using wave packet transform techniques.
Contribution
It introduces a novel approach employing wave packet transform to analyze Schrödinger equations with time-dependent short-range potentials.
Findings
Proves existence of wave operators for the considered Schrödinger equations.
Establishes asymptotic completeness in the presence of time-dependent short-range potentials.
Develops a framework that could be applied to other quantum scattering problems.
Abstract
In this paper, we consider the existence and the asymptotic completeness of the wave operators for Schrodinger equations with time-dependent potentials which are short-range in space.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Seismic Imaging and Inversion Techniques · Image and Signal Denoising Methods