What is the absolutely continuous spectrum?
Mathematical Physics
2025-02-05 v3 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We summarize (and comment on) the research program carried out in (CMP 319, 501 (2013)), (CMP 338, 347 (2015)), (CMP 344, 959 (2016), (LMP 106, 787 (2016)). This program is devoted to the characterization of the absolutely continuous spectrum of a self-adjoint operator H in terms of the transport properties of a suitable class of open quantum systems canonically associated to H.
Cite
@article{arxiv.1602.01893,
title = {What is the absolutely continuous spectrum?},
author = {L. Bruneau and V. Jaksic and Y. Last and C. -A. Pillet},
journal= {arXiv preprint arXiv:1602.01893},
year = {2025}
}