Resonances in the two-centers Coulomb system

Seri, M., Knauf, A., Degli Esposti, M. and Jecko, T. (2016) Resonances in the two-centers Coulomb system. Reviews in Mathematical Physics, 28 (7). 1650016. ISSN 0129-055X doi: 10.1142/S0129055X16500161

Abstract/Summary

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/47050
Identification Number/DOI	10.1142/S0129055X16500161
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	World Scientific
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