Eigenstates with Infinite Position Moments
Mathematical Physics
2026-05-08 v1 math.MP
Abstract
We prove necessary and sufficient conditions for the Schr\"odinger operators to have zero-energy bound states at the threshold of the essential spectrum such that they have bounded -th moment. This result is the extension of the results published in D. Hundertmark, M. Jex, and M. Lange [Forum Mathematics, Sigma 11(2023)].
Cite
@article{arxiv.2605.06504,
title = {Eigenstates with Infinite Position Moments},
author = {Michal Jex},
journal= {arXiv preprint arXiv:2605.06504},
year = {2026}
}