Solvability of the inverse scattering problem for the selfadjoint matrix Schrodinger operator on the half line
Xiao-Chuan Xu, Chuan-Fu Yang
TL;DR
This paper investigates the inverse scattering problem for selfadjoint matrix Schrödinger operators on the half line, establishing conditions for when the problem can be solved.
Contribution
It provides necessary and sufficient conditions for the solvability of the inverse scattering problem in this context, advancing theoretical understanding.
Findings
Derived conditions for inverse scattering solvability
Characterized selfadjoint matrix Schrödinger operators
Enhanced theoretical framework for inverse problems
Abstract
In this work we study the inverse scattering problem for the selfadjoint matrix Schrodinger operator on the half line. We provide the necessary and sufficient conditions for the solvability of the inverse scattering problem.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Numerical methods in inverse problems