Question: Consider two ions, labeled 1 and 2, positioned at a constant distance from each other. Each ion has spin angular momentum operators S and Sz.

Consider two ions, labeled 1 and 2, positioned at a constant distance from each other. Each ion has spin angular momentum operators S and Sz. Their interaction is described by the Hamiltonian H = -J51-S2, where J is a positive constant. Given that the values of S1? and S2? are fixed at 51(S1+1) and S2(S2+1) respectively, what is the energy of the ground state of this system
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