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Solution of the two-center time-dependent Dirac equation in spherical coordinates: application of the multipole expansion of the electron-nuclei interaction

A nonperturbative approach to the solution of the time-dependent, two-center Dirac equation is presented with a special emphasis on the proper treatment of the potential of the nuclei. In order to account for the full multipole expansion of this potential, we express eigenfunctions of the two-center...

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Hauptverfasser: McConnell, Sean R. (VerfasserIn) , Artemyev, Anton (VerfasserIn) , Surzhykov, Andrey (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 12 November 2012
In: Physical review. A, Atomic, molecular, and optical physics
Year: 2012, Jahrgang: 86
ISSN:1094-1622
DOI:10.1103/PhysRevA.86.052705
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevA.86.052705
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.86.052705
Volltext
Verfasserangaben:S.R. McConnell, A.N. Artemyev, M. Mai, and A. Surzhykov
Beschreibung
Zusammenfassung:A nonperturbative approach to the solution of the time-dependent, two-center Dirac equation is presented with a special emphasis on the proper treatment of the potential of the nuclei. In order to account for the full multipole expansion of this potential, we express eigenfunctions of the two-center Hamiltonian in terms of well-known solutions of the “monopole” problem that employ solely the spherically symmetric part of the interaction. When combined with the coupled-channel method, such a wave-function-expansion technique allows for an accurate description of the electron dynamics in the field of moving ions for a wide range of internuclear distances. To illustrate the applicability of the proposed approach, the probabilities of the K- as well as L-shell ionization of hydrogen-like ions in the course of nuclear α decay and slow ion-ion collisions have been calculated.
Beschreibung:Gesehen am 09.11.2018
Beschreibung:Online Resource
ISSN:1094-1622
DOI:10.1103/PhysRevA.86.052705

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