A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials
Mathematical Physics
2025-01-07 v1 math.MP
Spectral Theory
Abstract
Building on the work of Jitomirskaya-Simon and Jitomirskaya-Liu, who established the absence of eigenvalues for Schr\"odinger operators with almost reflective repetition potentials, we provide a new proof of the sharp Gordon's lemma, which asserts the absence of eigenvalues for Schr\"odinger operators with almost repetition potentials.
Keywords
Cite
@article{arxiv.2501.03157,
title = {A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials},
author = {Wencai Liu},
journal= {arXiv preprint arXiv:2501.03157},
year = {2025}
}
Comments
Dedicated to Barry Simon on the occasion of his 80th birthday