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k1 , where the dashed sum ∑′ runs over all points in the first Brillouin zone satisfying k-Δk/2<|k|
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1(t) to be smaller than π/(2Δx) . The power law thus must cease to be valid for very short times, which is also clear from the fact that S(t,k) and hence k must be analytic at t=0
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