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(Solved): A combined system is formed from two separate systems of \( N \) localized atoms of spin-1/2 cach. ...




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


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The Lagrange multiplier e is eliminated by subtraction of brackets. 1/2t(-(S1-S2)^2 n1^2+(S1+S2)^2 n2^2+(S1-S3)^2 n3^2+(S1+S2) tan=0 1/2t(-(S3-S1)^2 n
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