Abstract
For a large class of quantum models of mean-field type the thermodynamic limit of the free energy density is proved to be given by the Gibbs variational principle. The latter is shown to be equivalent to a non-commutative version of Varadhan's asymptotic formula.
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Communicated by H. Araki
On leave from the Mathematical Institute HAS, Budapest, Hungary
On leave from the Dublin Institute for Advanced Studies, Dublin, Ireland
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Petz, D., Raggio, G.A. & Verbeure, A. Asymptotics of Varadhan-type and the Gibbs variational principle. Commun.Math. Phys. 121, 271–282 (1989). https://doi.org/10.1007/BF01217806
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DOI: https://doi.org/10.1007/BF01217806