Absolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in others

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57643We prove that the spectrum of a Schrodinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The paper is to appear as Doc. Math. 9:107-121 (2004)Mathematical PhysicsAnalysis of PDEsSpectral TheoryAbsolute continuity of the spectrum of a Schrodinger operator with a potential which is periodic in some directions and decays in otherstext