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The conserved quantity arising from a rotational invariance. Combine with rotational-dynamics for the classical mechanics approach and quantum-mechanics for the QM interpretation
0
votes
$ J^2=(L+S)^2 $ versus $ (P - \frac{q}{c} A)^2 $
I've accepted Dr. Zhou's answer, since I think he was getting at the following, and this is what I think would fill in the dots for my remaining challenges if anyone else is curious. I'm referring to …
4
votes
2
answers
155
views
$ J^2=(L+S)^2 $ versus $ (P - \frac{q}{c} A)^2 $
The total angular momentum J can be written as $$ J^2 = L^2 + S^2 + 2 L \cdot S .$$ Now, I assume this is a simplification of a more general tensor rule that $$ (M + N )^2 = M^2 + N^2 + M \cdot N + N …
1
vote
Accepted
Euler's equations and free rotating symmetric top
This is only an addendum to Mike's answer, which is correct.
This may clear up some confusion:
You may be following Taylor's Classical Mechanics, which seems to be the case from your wording. If so, h …