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2. A combined system is formed from two separate systems of N localized atoms of spin-1/2 each. While the two systems remain separate (a)

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2. A combined system is formed from two separate systems of N localized atoms of spin-1/2 each. While the two systems remain separate (a) Find the number of configurations which give a total spin excess S=S + S where S, and S, are the excess spins of the separate systems. (b) For what values of S, and S, is this number of configurations maximum?

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