I What is the connection between the Lamb Shift and the g factor?

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The g factor is linked to the Lamb Shift through radiative corrections affecting the electron's interaction with virtual particles. These corrections modify the energy levels of hydrogen atoms, resulting in the Lamb Shift. If these radiative corrections were absent, the energy levels would not shift, leading to discrepancies in experimental measurements. Understanding this connection is crucial for accurate predictions in quantum electrodynamics. The relationship highlights the interplay between particle physics and atomic structure.
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Trying to find a connection between these two (Lamb Shift and G factor aka anomalous magnetic moment)
German Wikipedia mentions that the g factor is one of the causes of the Lamb Shift. It does not say why and I am trying to find a connection between these two things. Any ideas?
 
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The anomalous ##g## factor (devisions from 2 for elementary Dirac particles like the electron or muon) are due to the radiative corrections of the ##e\bar{e}\gamma## vertex function, which are also contributing to the Lamb shift of the hydrogen-atom levels.
 
vanhees71 said:
The anomalous ##g## factor (devisions from 2 for elementary Dirac particles like the electron or muon) are due to the radiative corrections of the ##e\bar{e}\gamma## vertex function, which are also contributing to the Lamb shift of the hydrogen-atom levels.
Ah I see. And how are they contributing? What would change if they would not be there?
 

Thread 'Angular Momentum Vector and Its Magnitude'

For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...
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