Invariant graphs and spectral type of Schr\'odinger operators

Autor:	Avila, Artur, Khanin, Konstantin, Leguil, Martin
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Spectral Theory 37J50
Druh dokumentu:	Working Paper
Popis:	In this paper we study spectral properties of Schr\"odinger operators with quasi-periodic potentials related to quasi-periodic action minimizing trajectories for analytic twist maps. We prove that the spectrum contains a component of absolutely continuous spectrum provided that the corresponding trajectory of the twist map belongs to an analytic invariant curve. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.09137 Zobrazit plný text záznamu View this record from Arxiv