g-factor of a bound electron
g-factor of a bound electron
g-factor of a bound electron
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Theory <strong>of</strong> the free <strong>electron</strong><br />
Penning trap and particle motion<br />
Motion <strong>of</strong> the particle<br />
Axial motion: oscillation in<br />
electrostatic potential with<br />
ω z = √ qV 0 /md 2<br />
Radial motion in an electrostatic<br />
field has two solutions<br />
Magnetron motion: ⃗E × ⃗B drift,<br />
ω −<br />
Cyclotron motion: ω +<br />
Invariance theorem<br />
( q<br />
) 2<br />
ωc 2 = ω+ 2 + ωz 2 + ω− 2 =<br />
m B<br />
Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 13 / 32
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