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g-factor of a bound electron

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

Larmor and cyclotron frequency<br />

g-<strong>factor</strong> <strong>of</strong> the free <strong>electron</strong><br />

The Zeeman splitting <strong>of</strong> the <strong>electron</strong> ground state in a magnetic field<br />

⃗B = B · ⃗e z is given by<br />

∆E 1s = −⃗µ · ⃗B<br />

This is proportional to the Larmor precession frequency <strong>of</strong> the <strong>electron</strong><br />

∆E 1s = ω L<br />

The magnetic field is characterised by the cyclotron frequency<br />

ω c = e m B<br />

Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 10 / 32

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