Geodesic
Construction of transfer matrix for continuous one-dimensional many-component Gibbs systems with regular two-body interaction potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 3, pp. 323-335 
V. I. Skripnik. Construction of transfer matrix for continuous one-dimensional many-component Gibbs systems with regular two-body interaction potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_1976_29_3_a3/
@article{TMF_1976_29_3_a3,
     author = {V. I. Skripnik},
     title = {Construction of transfer matrix for continuous one-dimensional many-component {Gibbs} systems with regular two-body interaction potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--335},
     year = {1976},
     volume = {29},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_29_3_a3/}
}
TY  - JOUR
AU  - V. I. Skripnik
TI  - Construction of transfer matrix for continuous one-dimensional many-component Gibbs systems with regular two-body interaction potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 323
EP  - 335
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_29_3_a3/
LA  - ru
ID  - TMF_1976_29_3_a3
ER  - 
%0 Journal Article
%A V. I. Skripnik
%T Construction of transfer matrix for continuous one-dimensional many-component Gibbs systems with regular two-body interaction potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 323-335
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1976_29_3_a3/
%G ru
%F TMF_1976_29_3_a3

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

The matrix method is used to calculate the pressure and correlation functions of infinite continuous one-dimensional Gibbs systems with regular two-body interaction potential.

[1] K. Symansik, Rendiconti dela Scoula Internationale di Fisica “E. Fermi”, XLV Corso, Acad. Press, 1969

[2] D. Ya. Petrina, V. I. Skripnik, TMF, 8 (1971), 369

[3] D. Fivel, Phys. Rev., D4 (1971), 1653

[4] W. I. Skrypnik, Preprint ITP-73-63E, Kiev, 1973 ; Preprint ITP-74-77E, Kiev, 1974 | MR | Zbl

[5] V. I. Skripnik, DAN SSSR, 222 (1975), 797 | MR

[6] L. Van Hove, Phys. Fluids, 2 (1950), 137 | MR

[7] M. Kac, Phys. Fluids, 2 (1959), 8 | DOI | MR | Zbl

[8] Yu. M. Sukhov, Tr. Mosk. matem. ob-va, 24 (1971), 175 | MR | Zbl

[9] G. Gallavotti, S. Miracle-Sole, J. Math. Phys., 11 (1969), 147 | DOI | MR

[10] D. Ryuel, Statisticheskaya mekhanika. Strogie rezultaty, «Mir», 1971

[11] B. Sekefalvi-Nad, Ch. Foyash, Garmonicheskii analiz operatorov v gilbertovom prostranstve, «Mir», 1970 | MR

[12] E. Guerra, L. Rosen, B. Simon, Ann. Math., 101 (1975), 111 | DOI | MR

[13] T. Kato, Teoriya vozmuschenii lineinykh operatorov, «Mir», 1972 | MR | Zbl

[14] J. Glimm, A. Jaffe, Ann. Math., 91 (1970), 362 | DOI | MR | Zbl

[15] M. G. Krein, M. A. Rutman, Usp. matem. n., 3:1 (1948), 3 | MR | Zbl

[16] V. Bargman, Commun. Pure Appl. Math., 14 (1961), 187 | DOI | MR | Zbl

[17] K. Iosida, Funktsionalnyi analiz, «Mir», 1967 | MR