g-factor of a bound electron
g-factor of a bound electron g-factor of a bound electron
Theory of the free electron g-factor of the free electron The magnetic moment of the electron An electrical current I creates a magnetic dipole field with the moment µ The angular momentum is given by L = mrv This results into the relation ⃗µ = − e 2m ⃗ L Ion Stroescu (Uni Heidelberg) g-factor of a bound electron January 11, 2008 7 / 32
Theory of the free electron Definition of the magneton g-factor of the free electron The magnetic moment can be expressed in terms of the magneton. ⃗µ = − e 2m ⃗ ⃗L L = −µ M , µ M = e 2m Two common definitions are Bohr magneton and nuclear magneton. µ B = e 2m e = 0.579 × 10 −4 eV T µ N = e 2m p = 3.152 × 10 −8 eV T Ion Stroescu (Uni Heidelberg) g-factor of a bound electron January 11, 2008 8 / 32
- Page 1 and 2: g-factor of a bound electron Ion St
- Page 3 and 4: Outline History and motivation 1 Hi
- Page 5 and 6: History and motivation Quantum elec
- Page 7: Outline Theory of the free electron
- Page 11 and 12: Theory of the free electron Larmor
- Page 13 and 14: Theory of the free electron Penning
- Page 15 and 16: Theory of the free electron QED con
- Page 17 and 18: Theory of the bound electron g-fact
- Page 19 and 20: Outline Experiment 1 History and mo
- Page 21 and 22: Experiment Results and precision Do
- Page 23 and 24: Experiment Quantum jump spectroscop
- Page 25 and 26: Experiment Results and precision g-
- Page 27 and 28: Experiment Deducing the electron’
- Page 29 and 30: Outlook: New experiments and future
- Page 31 and 32: Outlook: New experiments and future
- Page 33 and 34: Conclusion Conclusion The g-factor
- Page 35 and 36: Conclusion Conclusion The g-factor
- Page 37: References References J. Verdú, S.
Theory <strong>of</strong> the free <strong>electron</strong><br />
Definition <strong>of</strong> the magneton<br />
g-<strong>factor</strong> <strong>of</strong> the free <strong>electron</strong><br />
The magnetic moment can be expressed in terms <strong>of</strong> the magneton.<br />
⃗µ = − e<br />
2m ⃗ ⃗L<br />
L = −µ M<br />
<br />
, µ M = e<br />
2m<br />
Two common definitions are Bohr magneton and nuclear magneton.<br />
µ B = e<br />
2m e<br />
= 0.579 × 10 −4 eV T<br />
µ N = e<br />
2m p<br />
= 3.152 × 10 −8 eV T<br />
Ion Stroescu (Uni Heidelberg) g-<strong>factor</strong> <strong>of</strong> a <strong>bound</strong> <strong>electron</strong> January 11, 2008 8 / 32
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