I know, we do not have an classical analog for the concept of spin in quantum mechanics. But, consider the following, Any infinitesimal operator we have: $$U_{\epsilon}=\mathbb{I}-i\hat{G}\epsilon$$ where, for the infinitesimal translation: $$\hat{G}\rightarrow\frac{\hat{p}}{\hbar}$$ Similarly, for an infinitesimal rotation, by analogy, we have the angular momentum operator. Now, for a spin system, what is it a generator of?
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3$\begingroup$ possible duplicates: physics.stackexchange.com/q/210626/50583, physics.stackexchange.com/q/407116/50583 $\endgroup$– ACuriousMind ♦Nov 5, 2022 at 13:37
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2$\begingroup$ maybe my answer here will help physics.stackexchange.com/q/620305 $\endgroup$– anna vNov 5, 2022 at 13:50
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