On absolutely continuous spectrum for one-channel unitary operators
Mathematical Physics
2024-10-01 v2 Functional Analysis
math.MP
Spectral Theory
Abstract
In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers.
Cite
@article{arxiv.2405.08898,
title = {On absolutely continuous spectrum for one-channel unitary operators},
author = {Olivier Bourget and Gregorio Moreno and Christian Sadel and Amal Taarabt},
journal= {arXiv preprint arXiv:2405.08898},
year = {2024}
}
Comments
36 pages, 5 figures