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Moments in the two-time spin-pair correlation function are evaluated up to 16-th order for the one-dimensional Heisenberg system with S = 1/2 at infinite temperature. The method of evaluations with a useful recurrence formula is reported. The current methods of treating the correlation function together with a newly proposed one are examined for both the spatially-Fourier-transformed correlation function and the auto-correlation function.
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Nagao et al. (1976) studied this question.
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