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: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
12 November 2012
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| 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 
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| Verfasserangaben: | S.R. McConnell, A.N. Artemyev, M. Mai, and A. Surzhykov |
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| 245 | 1 | 0 | |a Solution of the two-center time-dependent Dirac equation in spherical coordinates |b application of the multipole expansion of the electron-nuclei interaction |c S.R. McConnell, A.N. Artemyev, M. Mai, and A. Surzhykov |
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| 520 | |a 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. | ||
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