Resonances in the Two-Centers Coulomb Systems
Mathematical Physics
2016-10-07 v3 Classical Analysis and ODEs
math.MP
Spectral Theory
Abstract
We investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two dimensions, defining them in terms of generalised complex eigenvalues of a non-selfadjoint deformation of the two-centers Schr\"odinger operator. We construct the resolvent kernels of the operators and prove that they can be extended analytically to the second Riemann sheet. The resonances are then analysed by means of perturbation theory and numerical methods.
Keywords
Cite
@article{arxiv.1409.5580,
title = {Resonances in the Two-Centers Coulomb Systems},
author = {Marcello Seri and Andreas Knauf and Mirko Degli Esposti and Thierry Jecko},
journal= {arXiv preprint arXiv:1409.5580},
year = {2016}
}
Comments
52 pages, 9 figures