I What is the significance of recoupling in spin network theories?

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Recoupling in spin network theories refers to the process of transforming the coupling of spins to explore different quantum states. The term suggests a historical context where "decoupling" may have occurred, leading to the need for recoupling to understand interactions better. Participants in the discussion seek specific references to papers that explain these concepts further. The inquiry highlights a curiosity about the evolution of these theories and their implications in quantum physics. Understanding recoupling is essential for advancing knowledge in spin networks and their applications.
Heidi
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Hi Pfs
My question is not technical. I found papers about recoupling theories about spin networks.
i see what they are about but why this word "recoupling"?
Was there before a decoupling and recoupling whar?
 
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Would you please cite the papers? Makes me curious!
 
Heidi said:
I found papers
Which papers? Please give specific references.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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