If I want to derive the matrix representation for operator Q in the |S(adsbygoogle = window.adsbygoogle || []).push({}); _{1}=1/2 ,m_{1}> |S_{2}=1/2 ,m_{2}> basis, where |S_{i},m_{i}> are common eigenstates of S^{2}, S_{i,z}for the ith particle.

And I do it in this way:

<↑↑|Q|↑↑> <↑↑|Q|↑↓> <↑↓|Q|↓↑> <↑↑|Q|↓↓>

<↑↓|Q|↑↑> <↑↓|Q|↑↓> <↑↓|Q|↓↑> <↑↓|Q|↓↓>

.... .... .... ....

.... .... .... ....

|↑↑>=|S_{1}=1/2 ,m_{1}=+1/2> |S_{2}=1/2 ,m_{2}=+1/2 >

Is it correct?

THANKS

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# Problem in constructing Matrix representation in |↑↓> basis

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