Counterexample to the Laptev--Safronov conjecture
Spectral Theory
2022-11-30 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove that the Laptev--Safronov conjecture (Comm. Math. Phys., 2009) is false in the range that is not covered by Frank's positive result (Bull. Lond. Math. Soc., 2011). The simple counterexample is adaptable to a large class of Schr\"odinger type operators, for which we also prove new sharp upper bounds.
Keywords
Cite
@article{arxiv.2109.06135,
title = {Counterexample to the Laptev--Safronov conjecture},
author = {Sabine Bögli and Jean-Claude Cuenin},
journal= {arXiv preprint arXiv:2109.06135},
year = {2022}
}
Comments
20 pages