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Doubts about the electron magnetic moment.

by carllacan
Tags: doubts, electron, magnetic, moment
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carllacan
#1
Apr12-14, 03:05 PM
P: 172
Hi.

According to this page and other sources I found the z-component of the electronic magnetic moment is greater than the classically calculated value due to relativistic effects. Which makes me wonder:

1) What about the x and y components? I am completely lost as to why only the z axis is mentioned. I'm thinking that it is assumed that the axis of rotation of the electronand therefore the moment are aligned in that direction and therefore the x and y comps are 0. Am I right?

2) How are relativistic effects sneaking in here? There isn't anything going really fast, which I thought (perhaps naively) was necessary for them to be relevant.

Thank you.
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mfb
#2
Apr12-14, 04:22 PM
Mentor
P: 11,589
1) What about the x and y components? I am completely lost as to why only the z axis is mentioned. I'm thinking that it is assumed that the axis of rotation of the electronand therefore the moment are aligned in that direction and therefore the x and y comps are 0. Am I right?
Right. The z axis is chosen to be aligned with the spin.
2) How are relativistic effects sneaking in here? There isn't anything going really fast, which I thought (perhaps naively) was necessary for them to be relevant.
To make quantum mechanics compatible with special relativity, you need a different description of electrons - and spin is one result of that different description.
carllacan
#3
Apr12-14, 04:26 PM
P: 172
Does that different description of electrons happen to be the Dirac equation?

mfb
#4
Apr13-14, 03:45 AM
Mentor
P: 11,589
Doubts about the electron magnetic moment.

Sure.


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