English

On real resonances for three-dimensional Schr\"odinger operators with point interactions

Analysis of PDEs 2020-02-19 v1 Mathematical Physics math.MP Spectral Theory

Abstract

We prove the absence of positive real resonances for Schr\"odinger operators with finitely many point interactions in R3\mathbb{R}^3 and we discuss such a property from the perspective of dispersive and scattering features of the associated Schr\"odinger propagator.

Cite

@article{arxiv.2002.07787,
  title  = {On real resonances for three-dimensional Schr\"odinger operators with point interactions},
  author = {Alessandro Michelangeli and Raffaele Scandone},
  journal= {arXiv preprint arXiv:2002.07787},
  year   = {2020}
}
R2 v1 2026-06-23T13:45:51.397Z