Geodesic
Gibbs state for one-dimensional quantum lattice boson systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 239-249 
N. U. Khudoinazarov. Gibbs state for one-dimensional quantum lattice boson systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 239-249. http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a7/
@article{TMF_1990_84_2_a7,
     author = {N. U. Khudoinazarov},
     title = {Gibbs state for one-dimensional quantum lattice boson systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {239--249},
     year = {1990},
     volume = {84},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a7/}
}
TY  - JOUR
AU  - N. U. Khudoinazarov
TI  - Gibbs state for one-dimensional quantum lattice boson systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 239
EP  - 249
VL  - 84
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a7/
LA  - ru
ID  - TMF_1990_84_2_a7
ER  - 
%0 Journal Article
%A N. U. Khudoinazarov
%T Gibbs state for one-dimensional quantum lattice boson systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 239-249
%V 84
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a7/
%G ru
%F TMF_1990_84_2_a7

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

A one-dimensional quantum lattice boson system (a system of quantum oscillators) with finite-range interaction is considered. A limit Gibbs state is constructed and shown to be regular (correlation weakening).

[1] Araki H., Commun. Math. Phys., 14:2 (1969), 120–157 | DOI | MR | Zbl

[2] Sukhov Yu. M., DAN AN SSSR, 195:5 (1970), 1042–1045 | MR

[3] Suhov Yu. M., Commun. Math. Phys., 62:2 (1978), 119–136 | DOI | MR

[4] Globa S. A., Kondratev Yu. G., Primenenie metodov funktsionalnogo analiza v zadachakh matem. fiziki, IM AN SSSR, Kiev, 1987, 4–16 | MR

[5] Kondratev Yu. G., DAN SSSR, 283:1 (1985), 82–85 | MR

[6] Albeverio S., Hoegh-Krohn R., J. Func. Anal., 19:3 (1975), 242–272 | DOI | MR | Zbl

[7] Ginibre G., Statistical mechanics and quantum field theory, Les Houches summer school of theoretical physics, Gordon Breach, New York–London–Paris, 1970, 327–427

[8] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965 | MR

[9] Gikhman I. I., Skorokhod A. V., Vvedenie v teoriyu sluchainykh protsessov, Nauka, M., 1965 | MR | Zbl

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

[11] Krein M. G., Rutman M. A., UMN, 3:1 (1948), 3–95 | MR | Zbl