Geodesic
A method of solving infinite systems of equations for two-time thermal Green's functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 219-233 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An infinite system of coupled equations of Dyson type is constructed for the two-time correlation functions and Green's functions in which the two-particle, threeparticle, etc., scattering is taken into account successively at each stage. Explicit expressions are obtained for the correlation functions with projected evolution that occur in the mass operators of the equations. The method developed in the paper is compared with the methods based on the introduction of a projection operator. 
@article{TMF_1981_49_2_a7,
     author = {Yu. A. Tserkovnikov},
     title = {A~method of solving infinite systems of equations for two-time thermal {Green's} functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--233},
     year = {1981},
     volume = {49},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a7/}
}
TY  - JOUR
AU  - Yu. A. Tserkovnikov
TI  - A method of solving infinite systems of equations for two-time thermal Green's functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 219
EP  - 233
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a7/
LA  - ru
ID  - TMF_1981_49_2_a7
ER  - 
%0 Journal Article
%A Yu. A. Tserkovnikov
%T A method of solving infinite systems of equations for two-time thermal Green's functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 219-233
%V 49
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a7/
%G ru
%F TMF_1981_49_2_a7
Yu. A. Tserkovnikov. A method of solving infinite systems of equations for two-time thermal Green's functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 219-233. http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a7/

[1] Bogolyubov N. N., Tyablikov S. V., DAN SSSR, 126 (1959), 53 | Zbl

[2] Zubarev D. N., UFN, 71 (1960), 71 | DOI | MR

[3] Mori H., Progr. Theor. Phys., 33 (1965), 423 ; 34, 399 | DOI | MR | Zbl | DOI

[4] Ichiganagi M., J. Phys. Soc. Japan, 32 (1972), 604 | DOI | MR

[5] Götze W., Lücke M., Phys. Rev., A11 (1975), 2173 | DOI

[6] Bosse J., Götze W., Lücke M., Phys. Rev., A17 (1978), 434 | DOI | MR

[7] Bosse J., Götze W., Zippelius A., Phys. Rev., A18 (1978), 1214 | DOI | MR

[8] Tserkovnikov Yu. A., DAN SSSR, 143 (1962), 832 | Zbl

[9] Plakida N. M., Statisticheskaya fizika i kvantovaya teoriya polya, Nauka, M., 1973, 205–240 | MR

[10] Mazenko G. F., Phys. Rev., A7 (1973), 209 ; 222; A9 (1974), 360 | DOI | DOI

[11] Kubo R., J. Phys. Soc. Japan, 12 (1957), 570 | DOI | MR | Zbl

[12] Ramos J. G., Gomes A. A., Nuovo Cim., 3A (1971), 441 | DOI | MR

[13] Suzuki M., Physica, 51 (1971), 271 | DOI | MR

[14] Kalashnikov V. P., TMF, 34 (1978), 412–423

[15] Tserkovnikov Yu. A., TMF, 7 (1971), 250–261 ; 23 (1975), 221–237

[16] Tokuyama M., Mori H., Progr. Theor. Phys., 55 (1976), 411 | DOI | MR | Zbl

[17] Faddeev L. D., Tr. MI AN SSSR, 69, 1963 | MR | Zbl