What is the absolutely continuous spectrum?
Résumé
We summarize (and comment on) the research program carried out in [Commun. Math. Phys. 319, 501-513 (2013)],
[Commun. Math. Phys. 338, 347-366 (2015], [Commun. Math. Phys. 344, 959-981 (2016)], [Lett. Math. Phys. 106, 787-797 (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 .
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