Solution of the two-center time-dependent Dirac equation in spherical coordinates

• Verfasst von: McConnell, Sean R. [VerfasserIn]
• Verfasst von: Artemyev, Anton [VerfasserIn]
• Verfasst von: Surzhykov, Andrey [VerfasserIn]
• Titel: Solution of the two-center time-dependent Dirac equation in spherical coordinates
• Titelzusatz: application of the multipole expansion of the electron-nuclei interaction
• Verf.angabe: S.R. McConnell, A.N. Artemyev, M. Mai, and A. Surzhykov
• E-Jahr: 2012
• Jahr: 12 November 2012
• Umfang: 8 S.
• Fussnoten: Gesehen am 09.11.2018
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2012
• Band/Heft Quelle: 86(2012), Artikel-ID 5
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.86.052705
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1582906254

Abstract

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.