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Analytic Evaluation of Quantum Electrodynamic Corrections in One-Electron Ions


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

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Dizer, E. (2020). Analytic Evaluation of Quantum Electrodynamic Corrections in One-Electron Ions. Bachelor Thesis, Ruprecht-Karls-Universität, Heidelberg.

Cite as: https://hdl.handle.net/21.11116/0000-0006-B165-0
In this Thesis, the fundamental properties of the bound electron in highly charged hydrogenlike
ions are investigated in the framework of quantum electrodynamics. Leptonic and
hadronic vacuum polarization corrections to the energy levels and the bound electron
g-factor are evaluated analytically. Hadronic effects are treated semi-empirically. Exact
analytic results for the respective shifts are given and compared to various approximations.
Furthermore, the well-known expression for the one-loop Lamb shift is rederived with the
modern dimensional regularization technique and the Bethe logarithm, appearing in the
low-energy part of the shift, is evaluated with a highly accurate, semi-analytical approach.
The total numerical value of the Lamb shift computed with the numerically improved
values for the Bethe logarithm and hadronic vacuum polarization effects is given.