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Absence of localization in a class of Schrödinger operators with quasiperiodic potential

Research paper by François Delyon, Dimitri Petritis

Indexed on: 01 Sep '86Published on: 01 Sep '86Published in: Communications in Mathematical Physics



Abstract

We prove that a class of discrete Schrödinger operators with a quasiperiodic potential taking only a finite number of values, exhibits purely continuous spectrum; in particular they cannot have localized eigenvectors.