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- Homework Statement
- the matrices representing the operators S^2 and S_z

- Relevant Equations
- the matrices representing the operators S^2 and S_z

I have this homework: consider the case of two spin half particles. Use the basis: |++>, |+->, |-+>, |--> to find the matrices representing the operators S^2 and S_z.

My idea for the solution for S_z is: S_z=S_z(1)+S_z(2) where S_z(1) is the operator for the first particle ... etc

So I will first find the S_z(1) matrix. The first element in the matrix will be: <++|S_z(1)|++>=(hbar/2) the second element will be <++|S_z(1)|+->=0 ... etc Where I finally get a diagonal matrix. Is this procedure correct?

My idea for the solution for S_z is: S_z=S_z(1)+S_z(2) where S_z(1) is the operator for the first particle ... etc

So I will first find the S_z(1) matrix. The first element in the matrix will be: <++|S_z(1)|++>=(hbar/2) the second element will be <++|S_z(1)|+->=0 ... etc Where I finally get a diagonal matrix. Is this procedure correct?