What is the absolutely continuous spectrum? - Ecole Centrale de Marseille
Pré-Publication, Document De Travail Année : 2024

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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hal-01269535 , version 1 (05-02-2016)
hal-01269535 , version 2 (19-12-2024)

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  • HAL Id : hal-01269535 , version 2

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Laurent Bruneau, Vojkan Jaksic, Yoram Last, Claude-Alain Pillet. What is the absolutely continuous spectrum?. 2024. ⟨hal-01269535v2⟩
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