Help Me Master the G-Factor: A Serway's Modern Physics Guide

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Hello, I'm having a hard time grasping this g-factor. Why was it invented? How do you solve for it?

I'm currently using Serway's Modern Physics textbook right now, and I feel like it skimped on it so much that I just have no idea what it really is. If someone can expound, it would be greatly appreciated!
 
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The g-factor follows from a relativistic effect which can be derived naturally from the Dirac equation
 
IIRC, g=2 for electron can be derived from Galilean-invariant quantum dynamics. The work by J.M. Lévy-Leblond supports this claim.
 
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are you talking about lande factor? Yes,it can be derived naturally from Dirac eqn for electron.Also g is not exactly 2 because of radiative corrections.(vertex correction)
 
There is a simple formula relating the magnetic moment to the angular momentum J
in many simple cases:
\mu=(e/2mc)J.
When this relation is different a dimensionless factor g is introduced as
\mu=g(e/2mc)J.
For the electron the g factor is ver close to g=2.
 
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