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

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.