Datensatz

Zusammenfassung

The bound electron g-factor is one of the most precisely measured and calculated quantities in atomic physics and provides also the most stringent test of the magnetic sector of bound state quantum electrodynamics. Despite increasing accuracy both in experiment and theory, to date no discrepancy between the measured and theoretically predicted value of the bound electron g-factor has been found. In this thesis, the correction of the bound electron g-factor in hydrogen-like ions due to a non-spherical nuclear charge distribution is evaluated for a wide range of nuclear deformation parameters. This effect scales strongly with the nuclear charge and the nuclear shell structure is reflected in the resulting g-factor correction. Also, the effect on the bound electron g-factor due to the ion moving in a Penning trap is investigated and it is shown that this is negligible at the current precision of measurement. An analogous effect on measurements with an ion in the motional ground state of a Paul trap is shown to vanish in leading order.