Open problem: Violation of locality for Schr\"odinger operators with complex potentials
Spectral Theory
2024-09-18 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We explain in which sense Schr\"odinger operators with complex potentials appear to violate locality (or Weyl's asymptotics), and we pose three open problems related to this phenomenon.
Keywords
Cite
@article{arxiv.2409.11285,
title = {Open problem: Violation of locality for Schr\"odinger operators with complex potentials},
author = {Jean-Claude Cuenin and Rupert L. Frank},
journal= {arXiv preprint arXiv:2409.11285},
year = {2024}
}