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g-factor of a bound electron

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Theory <strong>of</strong> the free <strong>electron</strong><br />

QED contributions<br />

Self-energy and polarisation<br />

In addition to Dirac’s theory,<br />

there are QED effects which<br />

change the energy <strong>of</strong> the ground<br />

state<br />

(a) self-energy<br />

(b) vacuum polarisation<br />

This affects the anomalous moment <strong>of</strong> the <strong>electron</strong><br />

g e /2 = 1 + C 2 (α/π) + C 4 (α/π) 2 + C 6 (α/π) 3 + C 8 (α/π) 4 + ...<br />

First order Schwinger term C 2 = 1/2<br />

Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 14 / 32

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