Perturbation theory of quantum resonances

0460052 - ÚFCH JH 2017 RIV DE eng J - Článek v odborném periodiku
Durand, P. - Paidarová, Ivana
Perturbation theory of quantum resonances.
Theoretical Chemistry Accounts. Roč. 135, č. 7 (2016), s. 159. ISSN 1432-881X. E-ISSN 1432-2234
Institucionální podpora: RVO:61388955
Klíčová slova: Partitioning technique * Analytic continuation * Perturbative expansion
Kód oboru RIV: CF - Fyzikální chemie a teoretická chemie
Impakt faktor: 1.890, rok: 2016

We propose a contribution to the theory of quantum resonances that combines complex absorbing potentials (CAP) with standard perturbation theory. We start from resolvents that depend on two variables, the complex energy z and a perturbation parameter λ. The wave functions and the energies of the resonances are expanded in powers of λ. It is shown that the zero-order terms correspond to the standard CAP method and that higher-order corrections are significant. The introduction of a convergence operator allows to control the convergence of the perturbation series. Due to the discretization of the continuum, the series are generally asymptotic. Finally, we relate the perturbation series to numerically convenient Taylor series. The theory is illustrated on two model examples.
Trvalý link: http://hdl.handle.net/11104/0260194