Geodesic
Analytic properties of Gibbs states for a~class of one-dimensional lattice quantum systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 98-121

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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. 
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     author = {N. U. Khudoinazarov},
     title = {Analytic properties of {Gibbs} states for a~class of one-dimensional lattice quantum systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {98--121},
     publisher = {mathdoc},
     volume = {94},
     number = {1},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a7/}
}
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N. U. Khudoinazarov. Analytic properties of Gibbs states for a~class of one-dimensional lattice quantum systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 98-121. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a7/