Optimal method for truncating a chain of equations for two-time
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 503-510 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We use an example of a chain of equations describing a system of Bose particles with pairwise interaction to develop a method for decoupling the chain at its second element. We obtain an approximation of the interacting-modes type, which results in a system of nonlinear equations for one-, two-, and three-particle functions.
Keywords: Green's functions, approximation of interacting modes.
Mots-clés : chains of equations
@article{TMF_2006_147_3_a7,
     author = {Yu. A. Tserkovnikov},
     title = {Optimal method for truncating a chain of equations for two-time},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {503--510},
     year = {2006},
     volume = {147},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a7/}
}
TY  - JOUR
AU  - Yu. A. Tserkovnikov
TI  - Optimal method for truncating a chain of equations for two-time
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2006
SP  - 503
EP  - 510
VL  - 147
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a7/
LA  - ru
ID  - TMF_2006_147_3_a7
ER  - 
%0 Journal Article
%A Yu. A. Tserkovnikov
%T Optimal method for truncating a chain of equations for two-time
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2006
%P 503-510
%V 147
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a7/
%G ru
%F TMF_2006_147_3_a7
Yu. A. Tserkovnikov. Optimal method for truncating a chain of equations for two-time. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 503-510. http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a7/

[1] Yu. A. Tserkovnikov, TMF, 129:3 (2001), 432 | DOI | MR | Zbl

[2] N. N. Bogolyubov, D. V. Shirkov, Kvantovye polya, Nauka, M., 1980 | MR | Zbl

[3] D. N. Zubarev, UFN, 71:1 (1960), 71 | DOI | MR

[4] D. N. Zubarev, Yu. A. Tserkovnikov, Tr. MIAN, 175, 1986, 134 | MR

[5] Yu. A. Tserkovnikov, Tr. MIAN, 228, 2000, 286 | MR | Zbl

[6] W. S. Götze, M. Lücke, Phys. Rev. A, 11 (1975), 2173 ; S. Yip, Ann. Rev. Phys. Chem., 30 (1979), 547 | DOI | DOI