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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**