Seri, M; (2012) Resonances in the two centers Coulomb system. Doctoral thesis, Friedrich-Alexander Universitaet Erlangen-Nuernberg and Universita' di Bologna.
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In this work we investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two and three dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center Schrödinger operator. After giving a description of the bifurcation of the classical system for positive energies, we construct the resolvent kernel of the operators and we prove that they can be extended analytically to the second Riemann sheet. The resonances are then defined and studied with numerical methods and perturbation theory.
|Title:||Resonances in the two centers Coulomb system|
|Keywords:||quantum resonances, semiclassical limit, eigenvalues asymptotic, sturm-liouville operator, coulomb singularities, integrable system, bifurcation theory, schroedinger operator, spectral theory, non-self-adoint operators|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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