g-factor of a bound electron
g-factor of a bound electron g-factor of a bound electron
Theory of the bound electron QED contributions for the bound state Bound-state QED of the electron g-factor g bound (Z α)2 α(Z α)2 = 1 − + + ... g free 3 4π Corrections come from Dirac theory and bound-state QED High Z prohibit the use of perturbation theory, since Z α ≈ 1 QED corrections ∆E ∼ Z 4 /n 3 Ion Stroescu (Uni Heidelberg) g-factor of a bound electron January 11, 2008 17 / 32
Outline Experiment 1 History and motivation 2 Theory of the free electron g-factor of the free electron Penning trap and particle motion QED contributions 3 Theory of the bound electron g-factor of the bound electron in hydrogen-like ion QED contributions for the bound state 4 Experiment Results and precision Mass of the electron 5 Outlook: New experiments and future facilities Ion Stroescu (Uni Heidelberg) g-factor of a bound electron January 11, 2008 18 / 32
- Page 1 and 2: g-factor of a bound electron Ion St
- Page 3 and 4: Outline History and motivation 1 Hi
- Page 5 and 6: History and motivation Quantum elec
- Page 7 and 8: Outline Theory of the free electron
- Page 9 and 10: Theory of the free electron Definit
- Page 11 and 12: Theory of the free electron Larmor
- Page 13 and 14: Theory of the free electron Penning
- Page 15 and 16: Theory of the free electron QED con
- Page 17: Theory of the bound electron g-fact
- Page 21 and 22: Experiment Results and precision Do
- Page 23 and 24: Experiment Quantum jump spectroscop
- Page 25 and 26: Experiment Results and precision g-
- Page 27 and 28: Experiment Deducing the electron’
- Page 29 and 30: Outlook: New experiments and future
- Page 31 and 32: Outlook: New experiments and future
- Page 33 and 34: Conclusion Conclusion The g-factor
- Page 35 and 36: Conclusion Conclusion The g-factor
- Page 37: References References J. Verdú, S.
Outline<br />
Experiment<br />
1 History and motivation<br />
2 Theory <strong>of</strong> the free <strong>electron</strong><br />
g-<strong>factor</strong> <strong>of</strong> the free <strong>electron</strong><br />
Penning trap and particle motion<br />
QED contributions<br />
3 Theory <strong>of</strong> the <strong>bound</strong> <strong>electron</strong><br />
g-<strong>factor</strong> <strong>of</strong> the <strong>bound</strong> <strong>electron</strong> in hydrogen-like ion<br />
QED contributions for the <strong>bound</strong> state<br />
4 Experiment<br />
Results and precision<br />
Mass <strong>of</strong> the <strong>electron</strong><br />
5 Outlook: New experiments and future facilities<br />
Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 18 / 32
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