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Analytic properties of Gibbs states for a class of one-dimensional lattice quantum systems

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Abstract

Analyticity of the free energy and Gibbs state with respect to the parameter β>0 (the inverse temperature) is established for a certain class of one-dimensional lattice quantum bosonic systems with long-range potential. The method of proof is a modification for the quantum case of the well-known method of cluster expansions.

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Authors
  1. N. U. Khudoinazarov
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Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 98–121, January, 1993.

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Khudoinazarov, N.U. Analytic properties of Gibbs states for a class of one-dimensional lattice quantum systems. Theor Math Phys 94, 71–88 (1993). https://doi.org/10.1007/BF01016997

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  • DOI: https://doi.org/10.1007/BF01016997

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