On the wave operators for the Friedrichs-Faddeev model
H. Isozaki, S. Richard
TL;DR
This paper introduces new formulae for wave operators in the Friedrichs-Faddeev model, analyzes their energy continuity, and discusses eigenfunctions related to embedded eigenvalues, advancing scattering theory understanding.
Contribution
It provides novel formulae for wave operators and insights into their energy dependence and eigenfunctions within the Friedrichs-Faddeev model.
Findings
New formulae for wave operators derived
Continuity of scattering matrix with energy established
Results on eigenfunctions for embedded eigenvalues obtained
Abstract
We provide new formulae for the wave operators in the context of the Friedrichs-Faddeev model. Continuity with respect to the energy of the scattering matrix and a few results on eigenfunctions corresponding to embedded eigenvalues are also derived.
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