Resonances in the two-center Coulomb systems

Seri M, Knauf A, Degli Esposti M, Jecko T (2016)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Reviews in Mathematical Physics World Scientific Publishing

Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD

Book Volume: 28

Journal Issue: 7

DOI: 10.1142/S0129055X16500161

Abstract

We investigate the existence of resonances for two-center Coulomb systems with arbitrary charges in two dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center Schrodinger 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 analyzed by means of perturbation theory and numerical methods.

Authors with CRIS profile

Marcello Seri Department Mathematik Andreas Knauf Lehrstuhl für Darstellungstheorie

Involved external institutions

Université de Rennes 1 / University of Rennes 1 FR France (FR) University of Bologna / Università di Bologna IT Italy (IT)

How to cite

APA:

Seri, M., Knauf, A., Degli Esposti, M., & Jecko, T. (2016). Resonances in the two-center Coulomb systems. Reviews in Mathematical Physics, 28(7). https://doi.org/10.1142/S0129055X16500161

MLA:

Seri, Marcello, et al. "Resonances in the two-center Coulomb systems." Reviews in Mathematical Physics 28.7 (2016).

BibTeX: Download