Geodesic
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 
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/
@article{TMF_1978_34_3_a5,
     author = {Yu. R. Dashyan},
     title = {Equivalence of the canonical and grand canonical ensembles for one-dimensional systems of quantum statistical mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {341--352},
     year = {1978},
     volume = {34},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a5/}
}
TY  - JOUR
AU  - Yu. R. Dashyan
TI  - Equivalence of the canonical and grand canonical ensembles for one-dimensional systems of quantum statistical mechanics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 341
EP  - 352
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a5/
LA  - ru
ID  - TMF_1978_34_3_a5
ER  - 
%0 Journal Article
%A Yu. R. Dashyan
%T Equivalence of the canonical and grand canonical ensembles for one-dimensional systems of quantum statistical mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 341-352
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a5/
%G ru
%F TMF_1978_34_3_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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