Resonances in the two-centers Coulomb systemSeri, 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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1142/S0129055X16500161 Abstract/SummaryWe 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.
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