The resonance counting function for Schrödinger operators with generic potentials
Abstract
We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, $L^\infty$-compactly supported potentials.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2005
- DOI:
- 10.48550/arXiv.math-ph/0505065
- arXiv:
- arXiv:math-ph/0505065
- Bibcode:
- 2005math.ph...5065C
- Keywords:
-
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Spectral Theory;
- 81U05;
- 35P25;
- 47A40