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Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model.
E. Lieb and W. Liniger, Phys. Rev
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H. Brown, R. Bülow, J. Neubüser, H. Wondratschek and H. Zassenhaus Crystallographic Groups of Four-Dimensional Space
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M. Henneaux, C. Teitelboim, J. Zanelli Phys. Rev
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G. Georges, G. Kotliar, W. Krauth, M. Rozenberg Rev. Mod. Phys
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B. T. Seaman, L. D. Carr, M. J. Holland Phys. Rev
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Cited alongside, same era.
A. Shapere, F. Wilczek Branched Quantization
Cited in the paper.
Compare F. Strocchi, Symmetry Breaking
2008
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A. Shapere and F. Wilczek, Classical Time Crystals
2012
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