Reflectionless Dirac operators and canonical systems
Spectral Theory
2024-10-29 v1 Mathematical Physics
Complex Variables
math.MP
Abstract
We study canonical systems that are reflectionless on an open set. In this situation, the two half line functions are holomorphic continuations of each other and may thus be combined into a single holomorphic function. This idea was explored in [11], and we continue these investigations here. We focus on Dirac operators and especially their interplay with canonical systems, and we provide a more general and abstract framework.
Cite
@article{arxiv.2410.20218,
title = {Reflectionless Dirac operators and canonical systems},
author = {Christian Remling and Jie Zeng},
journal= {arXiv preprint arXiv:2410.20218},
year = {2024}
}