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g-factor of a bound electron

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

QED contributions for the <strong>bound</strong> state<br />

Bound-state QED <strong>of</strong> the <strong>electron</strong> g-<strong>factor</strong><br />

g <strong>bound</strong> (Z α)2 α(Z α)2<br />

= 1 − + + ...<br />

g free 3 4π<br />

Corrections come from Dirac<br />

theory and <strong>bound</strong>-state QED<br />

High Z prohibit the use <strong>of</strong><br />

perturbation theory, since<br />

Z α ≈ 1<br />

QED corrections ∆E ∼ Z 4 /n 3<br />

Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 17 / 32

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