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On uniqueness of KMS states of one-dimensional quantum lattice systems

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Uniqueness of KMS states is proved for one-dimensional quantum lattice system. Sakai's theorem on uniqueness of KMS states is generalized to cases of non-commutative generators.

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Communicated by G. Gallavotti

On leave from Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan.

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Araki, H. On uniqueness of KMS states of one-dimensional quantum lattice systems. Commun.Math. Phys. 44, 1–7 (1975). https://doi.org/10.1007/BF01609054

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  • DOI: https://doi.org/10.1007/BF01609054

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