Skip to Main content Skip to Navigation
Journal articles

Resonances in the Two-Centers Coulomb Systems

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 Schrödinger 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.
Complete list of metadata

https://hal-cnrs.archives-ouvertes.fr/hal-03217902
Contributor : Thierry Jecko <>
Submitted on : Wednesday, May 5, 2021 - 10:53:05 AM
Last modification on : Monday, July 5, 2021 - 11:38:01 AM
Long-term archiving on: : Friday, August 6, 2021 - 6:24:22 PM

File

resonances.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Marcello Seri, Andreas Knauf, Mirko Degli, Thierry Jecko. Resonances in the Two-Centers Coulomb Systems. Reviews in Mathematical Physics, World Scientific Publishing, 2016, 28 (7), ⟨10.1142/S0129055X16500161⟩. ⟨hal-03217902⟩

Share

Metrics

Record views

24

Files downloads

13