Work

Stationary scattering theory for one-body Stark operators, I

Year: 2019

Type: preprint

Abstract: We study the stationary scattering theory for a perturbed 1-body Stark operator. We prove existence and completeness of the stationary wave operators, construct the associated generalized Fourier transforms, and characterize asymptotics of the generalized eigenfunctions of minimal growths in terms of the stationary scattering matrix.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1905.03539

Authors: Adachi, T., Itakura, K., Ito, K., Skibsted, E.

Institution: Aarhus University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Vetenskapsrådet, Japan Society for the Promotion of Science, Research Institute for Mathematical Sciences, Division of Mathematical Sciences

Awards: Geometric methods for the Schrodinger equation, Institut Mittag-Leffler, Mathematical analysis on many body quantum systems in electromagnetic fields

OpenAlex ID: W2944510917

Cites: 28

Cited by: 1

Related to: 10