Editing 1-dimensional Ising model
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Performing the sum of the possible values of <math> S_{N} </math> we get: | Performing the sum of the possible values of <math> S_{N} </math> we get: | ||
:<math> Q_{N} = \sum_{S_1} \sum_{S_2} e^{K S_1S_2} \sum_{S_3} e^{K S_2 S_3} \cdots \sum_{S_{N- | :<math> Q_{N} = \sum_{S_1} \sum_{S_2} e^{K S_1S_2} \sum_{S_3} e^{K S_2 S_3} \cdots \sum_{S_{N-2}} e^{K S_{N-2} S_{N-1}} \left[ 2 \cosh ( K S_{N-1} ) \right] | ||
</math> | </math> | ||