A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schrödinger Operators with Almost Repetition Potentials

Abstract

Building on the work of Jitomirskaya-Simon and Jitomirskaya-Liu, who established the absence of eigenvalues for Schrödinger operators with almost reflective repetition potentials, we provide a new proof of the sharp Gordon's lemma, which asserts the absence of eigenvalues for Schrödinger operators with almost repetition potentials.

Dedicated to Barry Simon on the occasion of his 80th birthday