Geodesic
Convergence to equilibrium for a free Fermi gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 282-290 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A theorem on convergence to the limit during free evolution is proved for a large class of initial states of quantum systems with infinitely many particles. This result generalizes the well-known Lanford–Robinson theorem [2]. 
@article{TMF_1983_55_2_a11,
     author = {Yu. M. Sukhov},
     title = {Convergence to equilibrium for a~free {Fermi} gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {282--290},
     year = {1983},
     volume = {55},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a11/}
}
TY  - JOUR
AU  - Yu. M. Sukhov
TI  - Convergence to equilibrium for a free Fermi gas
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 282
EP  - 290
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a11/
LA  - ru
ID  - TMF_1983_55_2_a11
ER  - 
%0 Journal Article
%A Yu. M. Sukhov
%T Convergence to equilibrium for a free Fermi gas
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 282-290
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a11/
%G ru
%F TMF_1983_55_2_a11
Yu. M. Sukhov. Convergence to equilibrium for a free Fermi gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 282-290. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a11/

[1] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971

[2] Lanford O. E., Robinson D. W., Commun. Math. Phys., 24 (1972), 193–210 | DOI | MR

[3] Powers R. T., Stormer E., Commun. Math. Phys., 16 (1970), 1–23 | DOI | MR

[4] Rocca F., Sirugue M., Testard D., Commun. Math. Phys., 13 (1969), 317–334 ; 19 (1970), 119–141 | DOI | MR | DOI | MR

[5] Dobrushin R. L., Sukhov Yu. M., Itogi nauki i tekhniki. Sovremennye problemy matematiki, 14, VINITI AN SSSR, M., 1979, 147–254

[6] Boldrighini C., Dobrushin R. L., Suhov Yu. M., Time asymptotics for some degenerate models of the evolution for systems with infinitely many particles, Preprint, Camerino University (Italy), 1980 | MR

[7] Ginibre J., J. Math. Phys., 6 (1965), 238–251 ; Matematika, 13:2 (1968), 83–106; 252–262 ; 1432–1446 | DOI | MR | Zbl

[8] Novikov I. D., Funkts. analiz, 4:4 (1970), 79–80 | MR

[9] Sukhov Yu. M., Matem. sb., 83:4 (1970), 491–512 | MR | Zbl

[10] Sukhov Yu. M., DAN SSSR, 195:5 (1970), 1042–1044

[11] Suhov Yu. M., Commun. Math. Phys., 62 (1978), 119–136 | DOI | MR