Eigenstates with Infinite Position Moments
We prove necessary and sufficient conditions for the Schrödinger operators to have zero-energy bound states at the threshold of the essential spectrum such that they have bounded k-th moment. This result is the extension of the results published in D. Hundertmark, M. Jex, and M. Lange [Forum Mathematics, Sigma 11 (2023)].
Authors
- Michal Jex (ORCID: https://orcid.org/0000-0003-0910-0692)
Institutions
- Twitter (United States) (US)
Publication Details
- Journal
- Reviews in Mathematical Physics
- Published
- 2026-05-22
- DOI
- https://doi.org/10.1142/s0129055x26500091
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00