zbMATH — the first resource for mathematics

Schrödinger operators and the distribution of resonances in sectors. (English) Zbl 1264.35158
Summary: 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.

35P25 Scattering theory for PDEs
81U05 \(2\)-body potential quantum scattering theory
47A40 Scattering theory of linear operators
Full Text: DOI Link