Geodesic
Conditions of existence and stability of a solution of singular Kirkwood–Salsburg equations. Parts I and II
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 63-76 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the description of Maxwell–Boltzmann quantum systems with low density in the framework of the canonical ensemble, a study is made of the qualitative nature of the solution of the singular Kirkwood–Salsburg operator integral equations which characterize the corresponding $m$-particle density matrices in the case of hard-core interaction potentials. 
@article{TMF_1981_49_1_a4,
     author = {K. S. Matviichuk},
     title = {Conditions of existence and stability of a~solution of singular {Kirkwood{\textendash}Salsburg} equations. {Parts~I} {and~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {63--76},
     year = {1981},
     volume = {49},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a4/}
}
TY  - JOUR
AU  - K. S. Matviichuk
TI  - Conditions of existence and stability of a solution of singular Kirkwood–Salsburg equations. Parts I and II
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 63
EP  - 76
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a4/
LA  - ru
ID  - TMF_1981_49_1_a4
ER  - 
%0 Journal Article
%A K. S. Matviichuk
%T Conditions of existence and stability of a solution of singular Kirkwood–Salsburg equations. Parts I and II
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 63-76
%V 49
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a4/
%G ru
%F TMF_1981_49_1_a4
K. S. Matviichuk. Conditions of existence and stability of a solution of singular Kirkwood–Salsburg equations. Parts I and II. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 63-76. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a4/

[1] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M.–L., 1946, 255 | MR

[2] Kirkwood J. G., Salsburg Z. W., Discussion of Faraday Society, 15 (1953), 28–34 | DOI

[3] Ruelle D., Ann. Phys., 25:1 (1963), 109–120 | DOI | MR

[4] Ginibre J., J. Math. Phys., 6:2 (1965), 238–251 | DOI | MR | Zbl

[5] Ginibre J., J. Math. Phys., 6:9 (1965), 1432–1446 | DOI | MR | Zbl

[6] Ruelle D., Helv. Phys. Acta, 36:6 (1963), 789–799 | MR | Zbl

[7] Bogolyubov N. N., Petrina D. Ya., Khatset B. I., TMF, 1:2 (1969), 251–274 | MR

[8] Minlos R. A., UMN, 1 (1968), 133–190 | MR

[9] Khill T., Statisticheskaya mekhanika, IL, M., 1960, 485 pp.

[10] Khatset B. I., Naukovi zapiski Zhitomirskogo ped. institutu, fiz.-mat. seriya, 3 (1956), 113–138

[11] Matviichuk K. S., Matematicheskoe opisanie sostoyanii kvantovykh sistem metodom chastichnykh matrits plotnosti kanonicheskogo ansamblya, Preprint ITF-75-67R, ITF AN USSR, Kiev, 1975

[12] Matviichuk K. S., DAN USSR, ser. A, 12 (1975), 1083–1085

[13] Matviichuk K. S., TMF, 27:3 (1976), 360–372 | MR

[14] Matviichuk K. S., DAN SSSR, 227:2 (1976), 318–320 | MR

[15] Matviichuk K. S., DAN USSR, ser. A, 7 (1979), 510–516 | MR

[16] Matviichuk K. S., TMF, 41:3 (1979), 346–367 | MR

[17] Nelson E., J. Math. Phys., 5:3 (1964), 332–343 | DOI | MR | Zbl

[18] Halmos P. R., Measure Theory, D. Van Nostrand, Inc., New York, 1950, 635 pp. | MR | Zbl

[19] Robinson D. W., Commun. Math. Phys., 4:16 (1970), 290–309 | DOI | MR

[20] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, IL, M., 1954, 265 pp. | MR