The hamiltonian of a system of two spin- 12 electrons h, Physics

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The hamiltonian of a system of two spin- 12 electrons h

The Hamiltonian of a system of two (spin- 1/2) electrons, H= ?1?z1+?2?z2 where ?z is the Pauli Matrix, ? is an energy parameter and our subscripts represent the two electrons 1 and 2. What is the basis where this Hamiltonian is diagonal and what is the matrix of the Hamiltonian in this basis?

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