Schrodinger operators and the distribution of resonances in sectors
Spectral Theory
2011-08-02 v2 Mathematical Physics
math.MP
Abstract
The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including properties of functions of completely regular growth. This enables us to find asymptotics for the distribution of resonances in sectors for certain potentials and for certain families of potentials.
Keywords
Cite
@article{arxiv.1012.3767,
title = {Schrodinger operators and the distribution of resonances in sectors},
author = {T. J. Christiansen},
journal= {arXiv preprint arXiv:1012.3767},
year = {2011}
}
Comments
typos corrected; elaboration of some proofs