Equivalence of the canonical and grand canonical ensembles for one-dimensional systems of quantum statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 341-352 Cet article a éte moissonné depuis la source Math-Net.Ru

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The equivalence of the canonical and the grand canonical ensembles is proved for onedimensional Heisenberg models and one-dimensional continuous systems of quantum statistical mechanics.
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Yu. R. Dashyan. Equivalence of the canonical and grand canonical ensembles for one-dimensional systems of quantum statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 341-352. http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a5/

[1] N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, TMF, 1 (1969), 251

[2] I. L. Simyatitskii, TMF, 6 (1971), 230

[3] A. L. Khalfina, Matem. sb., 80 (1969), 3

[4] A. I. Khaitov, Tr. Mosk. matem. ob-va, 28, 1973, 215 | MR | Zbl

[5] R. A. Minlos, A. I. Khaitov, Tr. Mosk. matem. ob-va, 32, 1975, 147 | MR

[6] R. L. Dobrushin, R. Tirozzi, Preprint Instituto Matem. Univers. di Camerino, 1976

[7] K. S. Matviichuk, TMF, 27 (1976), 360

[8] N. Radzhabov, DAN Uzb.SSR, 7 (1973), 8

[9] H. Araki, Commun. Math. Phys., 14 (1969), 120 | DOI | MR | Zbl

[10] Yu. M. Sukhov, DAN SSSR, 195 (1970), 1024

[11] Yu. M. Suhov, Compt. Rend. Acad. Sci. Paris, serie A, 279 (1974), 433 | MR

[12] Yu. R. Dashyan, Teor. veroyat. i ee primen., 23:3 (1978), 580–593 | MR | Zbl

[13] J. Ginibre, Commun. Math. Phys., 10 (1968), 140 | DOI | MR

[14] Zh. Zhinibr, Matematika, 12 (1968), 104