English

The resonance counting function for Schr\"odinger operators with generic potentials

Mathematical Physics 2007-05-23 v1 math.MP Spectral Theory

Abstract

We show that the resonance counting function for a Schr\"odinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, LL^\infty-compactly supported potentials.

Keywords

Cite

@article{arxiv.math-ph/0505065,
  title  = {The resonance counting function for Schr\"odinger operators with generic potentials},
  author = {T. Christiansen and P. D. Hislop},
  journal= {arXiv preprint arXiv:math-ph/0505065},
  year   = {2007}
}