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The quantum mechanics textbook shows the relation ofJ. I believe_{1}+ J_{2}+ J_{3}≠ J_{1}+ (J_{2}+ J_{3})Jis total angular momentum operator for_{i}igroup of electrons (but actually I have not seen^{th}Joperator while I have seen_{1}Joperator so far)._{1}^{2}

I don't know how to proveJ). I think this play essential role of explaining why there are many coupling schemes._{1}+ J_{2}+ J_{3}≠ J_{1}+ (J_{2}+ J_{3}

Please help me to do this:)

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# I Why is association rule in angular momentum sum not valid?

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