Self-energy-corrected Dirac wave functions for advanced QED calculations in 
highly charged ions

Oreshkina, Natalia S.; Cakir, Halil; Sikora, Bastian; Yerokhin, V. A.; Debierre, Vincent; Harman, Zoltan; Keitel, Christoph H.

doi:10.1103/PhysRevA.101.032511

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Self-energy-corrected Dirac wave functions for advanced QED calculations in highly charged ions

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Oreshkina, Natalia S.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Cakir, Halil
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Sikora, Bastian
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Yerokhin, V. A.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;
Center for Advanced Studies, Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia;

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Debierre, Vincent
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Harman, Zoltan
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Keitel, Christoph H.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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https://journals.aps.org/pra/pdf/10.1103/PhysRevA.101.032511
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Citation

Oreshkina, N. S., Cakir, H., Sikora, B., Yerokhin, V. A., Debierre, V., Harman, Z., et al. (2020). Self-energy-corrected Dirac wave functions for advanced QED calculations in highly charged ions. Physical Review A, 101(3): 032511. doi:10.1103/PhysRevA.101.032511.

Cite as: https://hdl.handle.net/21.11116/0000-0006-A1C1-9

Abstract

The procedure for the calculation of the self-energy-corrected wave function of the bound electron in the field of the nucleus is discussed. We present the related formulas and discuss the numerical difficulties and the methods used to overcome them. The results of the calculation are presented for a wide range of ions. Possible applications of the numerically obtained wave functions are discussed.