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 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 analyzed by means of perturbation theory and numerical methods.
Seri, M., Knauf, A., DEGLI ESPOSTI, M., Jecko, T. (2016). Resonances in the two-center Coulomb systems. REVIEWS IN MATHEMATICAL PHYSICS, 28(7), 1-55 [10.1142/S0129055X16500161].
Resonances in the two-center Coulomb systems
DEGLI ESPOSTI, MIRKO;
2016
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 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 analyzed by means of perturbation theory and numerical methods.| File | Dimensione | Formato | |
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