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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 1, Pages 98–121
(Mi tmf1413)
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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
Citation:
N. U. Khudoinazarov, “Analytic properties of Gibbs states for a class of one-dimensional lattice quantum systems”, TMF, 94:1 (1993), 98–121; Theoret. and Math. Phys., 94:1 (1993), 71–88
Linking options:
https://www.mathnet.ru/eng/tmf1413 https://www.mathnet.ru/eng/tmf/v94/i1/p98
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Abstract page: | 213 | Full-text PDF : | 86 | References: | 50 | First page: | 1 |
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