Work

On multidimensional inverse scattering under the Stark effect

Year: 2024

Type: article

Abstract: We study one of multidimensional inverse scattering problems for quantum systems in a constant electric field, by utilization of the Enss-Weder time-dependent method. The main purpose of this paper is to propose some methods of sharpening key estimates in the analysis, which are much simpler than those in the previous works. Our methods give an appropriate class of short-range potentials which can be determined uniquely by scattering operators, that seems natural in terms of direct scattering problems.

Source: Hiroshima Mathematical Journal

DOI: 10.32917/h2023011

Authors: Tadayoshi Adachi, Yuta Tsujii

Institution: Kyoto University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Mathematical analysis on many body quantum systems in electromagnetic fields