Abstract
It is proved that euclidean invariant states describing crystals are not weakly clustering or equivalently that these states exhibit long range order. Further it is shown that a decomposition of an euclidean invariant state into states all of which are invariant for one specific space group, does not yield states with lattice symmetry.
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Knops, H.J.F. Properties of crystal states. Commun.Math. Phys. 12, 36–42 (1969). https://doi.org/10.1007/BF01646433
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DOI: https://doi.org/10.1007/BF01646433