Rewrite S₁ S₂ in terms of |S|², |S₁|²,|5₂|² by using the identity |S|² = |S₁ + S₂|² = |S₁|² + |S2|² +25₁ · 5₂. Use this to show that the combined spin angular momentum basis |5|² for the electron and proton spins is an eigenstate basis for this dipole interaction.
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Given that S=S1+S2 , then the combined spin angular momentum is given below.
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