Geodesic
Decoupling of two-time Green's functions and diagrammatic analysis
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 147-153 
N. M. Plakida. Decoupling of two-time Green's functions and diagrammatic analysis. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 147-153. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a13/
@article{TMF_1970_5_1_a13,
     author = {N. M. Plakida},
     title = {Decoupling of two-time {Green's} functions and diagrammatic analysis},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--153},
     year = {1970},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a13/}
}
TY  - JOUR
AU  - N. M. Plakida
TI  - Decoupling of two-time Green's functions and diagrammatic analysis
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 147
EP  - 153
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a13/
LA  - ru
ID  - TMF_1970_5_1_a13
ER  - 
%0 Journal Article
%A N. M. Plakida
%T Decoupling of two-time Green's functions and diagrammatic analysis
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 147-153
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a13/
%G ru
%F TMF_1970_5_1_a13

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

An analysis is made of a decoupling procedure in the equations of motion method for twotime temperature-dependent Green's functions. A proposal is made to estimate the accuracy of the decoupling on the basis of diagrammatic analysis of the truncated Dyson equation for the causal Green's function. The treatment is based on the example of an anharmonic lattice with allowance for the anharmonic terms of all orders.

[1] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 ; Д. Н. Зубарев, УФН, 71 (1960), 71 ; В. Л. Бонч-Бруевич, С. В. Тябликов, Метод функций Грина в статистической механике, Физматгиз, 1961 | Zbl | DOI | MR | MR

[2] A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, 1962 | MR | Zbl

[3] A. I. Kasiyan, V. A. Moskalenko, Izv. AN MoldSSR, no. 10, 88; 1961, 27

[4] I. P. Dzyub, FTT, 6, 1866; (1964), 3691; Ю. М. Каган, Физика кристаллов с дефектами, том 2, АН ГрузССР, Тбилиси, 1966

[5] P. Gluck, Proc. Phys. Soc., 92 (1967), 192 | DOI

[6] N. M. Plakida, T. Shiklosh, Phys. Stat. Sol., 33 (1969), 103 | DOI

[7] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 | MR

[8] Ph. H. Choquard, The Anharmonic Crystal, Benjamin, New-York, 1967

[9] H. Horner, Z. Phys., 205 (1967), 72 | DOI

[10] W. Gotze, Phys. Rev., 156 (1967), 951 | DOI

[11] N. M. Plakida, T. Shiklosh, Soobscheniya R4-4575, OIYaI, 1969; Phys. Stat. Sol., 39 (1970), 171 | DOI