A uniqueness theorem for anticommutation relations and commutation relations of quantum spin systems |
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| Authors: | P Combe R Rodriguez M Sirugue-Collin M Sirugue |
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| Institution: | (1) Université d'Aix-Marseille II, U.E.R. Scientifique de Luminy, France;(2) Université de Provence and Centre de Physique Théorique, C.N.R.S., F-13274 Marseille Cedex 2, France |
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| Abstract: | Under quite natural assumptions we prove that a classical spin lattice has essentially two natural quantum extensions: The quantum spin lattice and the Fermi system. Moreover we derive a transformation from a commuting pair of Fermi systems to a purely anticommuting Fermi system. |
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