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I was wondering how to get the expression for pauli matrices. I know that for one electron:

[tex] S_i = \frac{\hbar}{2} \sigma_i [/tex]

But I also know that you can get to the above expression by explicitly calculating the matrix elements of the Sz, Sx and Sy operators (in the basis generated by Sz and S and composed of two vectors) by using a few rules about angular momentum operators, I just don't remember how exactly. Anyone can help?

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# Pauli matrices

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