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

N. U. Khudoinazarov

M. V. Lomonosov Moscow State University

Abstract: Analyticity of the free energy and Gibbs state with respect to the parameter $\beta >0$ (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.

Received: 02.06.1992

 English version: Theoretical and Mathematical Physics, 1993, 94:1, 71–88

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